Aptitude - Problems on Ages - Discussion

1. 

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

[A]. 2 times
[B].
1 times
2
[C].
3 times
4
[D]. 3 times

Answer: Option A

Explanation:

Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.

(4x + 8) = 5 (x + 8)
2

8x + 16 = 5x + 40

3x = 24

x = 8.

Hence, required ratio = (4x + 16) = 48 = 2.
(x + 16) 24


Prakash Chile said: (Jun 22, 2010)  
Father is aged three times more than his son Ronit
if Ronit's age = x then Father's age = 3x
But Explanation Father's age = 4x
How is it possible?

Krithika said: (Jun 27, 2010)  
It is explained 3 times more than his son. so 4x.

Vinoth said: (Jul 2, 2010)  
How 4x ?

Sundar said: (Jul 6, 2010)  
Hi Guys!

It is 4x not 3x. (As Krithika said).

If the given statement is "Father is aged three times of his son Ronit's age", then it will be 3x.

But, the given statement is "Father is aged three times more than his son Ronit". So, it should be 4x.

Some answers to your other doubts:

1. How 5/2 came? Ans: "Two and a half times" can be written as 2.5 or 5/2.

2. How 16 came? Ans: 8 Years + Further 8 Years = 16 years.

Have a nice day for all!

Arru said: (Jul 18, 2010)  
How you got 5/2 (x+8)?

Mahesh said: (Jul 28, 2010)  
It is specified in the problem father age two and a half times of ronit's age.

Shantha said: (Aug 13, 2010)  
How you got 5/2(x+8)?

Poonam said: (Aug 13, 2010)  
How 5/2?

Poonam said: (Aug 13, 2010)  
How the ratio b 4x+16\x+8 ?
It should be 4x+8\x+8 is correct

Kanwal,Akhil said: (Aug 17, 2010)  
Kritika, Sundar are absolutely correct. Read the statements correctly.

Srikanth said: (Sep 3, 2010)  
5/2 (x+8) ? Can anybody please explain me why this expression has used?.

Jwala said: (Sep 6, 2010)  
(4x+8) is father's age.

2 and half is written as 5/2...i.e., (2 1/2 = ((2*2) +1)/2 => 5/2) (mixed fraction is converted into proper fraction).

(x+8) is ronit's age.

Sheela said: (Sep 8, 2010)  
Its 3x + x = 4x. Because its 3 times more not only 3 times.

Thara said: (Sep 10, 2010)  
I can't understand this question how 5/2 came?

Meera said: (Sep 16, 2010)  
Hi, Please explain the last step of ratio.

Preethi said: (Sep 28, 2010)  
How you got ratio (4x+16) / (x+16) ?

Ratikant said: (Sep 28, 2010)  
Please explain the last step of ratio.

Arun said: (Nov 11, 2010)  
4x+16,here 4x represents father's age and 16 refers years 8year and further 8 years

Nandish said: (Nov 20, 2010)  
(4x + 8) = 5 (x + 8)
2


8x + 16 = 5x + 40

how this 16 came

Shanmu said: (Nov 26, 2010)  
How you got ratio (4x+16) / (x+16) ?
can u explain the last step of ratio.

Vasu said: (Dec 3, 2010)  
How this 8X+16 and 5x+40 came?

Vaishu said: (Dec 7, 2010)  
Consider son's age as 'x'
so they have said,

Father is aged three times more than his son
as per the statement, x+3x
after 8ys ,he would be 2 and a half times of his son
so, x+3x+8=x+8
4x+8=x+8
(4x+8)=5/2(x+8)
we get, 8x+16=5x+40 => 3x=24
x=8

after further 8 years,
so add 8 to the equation 4x+8+8=x+8+8
4x+16=x+16
so the ratio is, (4x+16)/(x+16) = 48/24
=> 2years

Got it friends?

Harsh said: (Dec 11, 2010)  
As father age and his son age ratio decrease by one and half in 8 year.

In another 8 year in will decrease one and half from two and half times.

Jaz said: (Dec 15, 2010)  
@vaishu so, x+3x+8=x+8 this step am nt getting ..

(4x+8)=5/2(x+8) dis also...

Affrin said: (Dec 16, 2010)  
THANKS. Vaishu for your explanation.

Affrin said: (Dec 16, 2010)  
(4x+8)=5/2(x+8) => 8x+16 = 5x+40

bcoz :
cross multiply : 2(4x+8) = 8x+16
straight multiply: 5(x+8) = 5x+40
Everyone clear.........

Sajitha said: (Dec 19, 2010)  
Thank you very much affrin.

Vivek said: (Dec 30, 2010)  
2 1/2 means (2*2+1)/2 so dats 5/2

Abhiruchi said: (Jan 4, 2011)  
How (4x+16) / (x+16) is = 48/24 ?

Please explain.

Gauri said: (Jan 4, 2011)  
thanks vaishu, for solving the problem for the last ratio

Manu said: (Jan 7, 2011)  
I want details answer for 4x+16/x+16 and how did we get answer 48/24 please. Reply me.

Nagarjun said: (Jan 7, 2011)  
Thank you vaishu. I am satisfied after reading your answer.

Nayana said: (Jan 11, 2011)  
Hi vaishu,

I didn't get the last step why did you add 8 to that equation 4x+8 and x+8. Can you please explain me that last step?

Mahananda said: (Jan 14, 2011)  
Hi vaishu,

I didn't get the step of adding 8 to 4x+8 &x+8. so pls explain me

Parul said: (Jan 21, 2011)  
How (x+8) ?

M.Karthik said: (Jan 27, 2011)  
How (4x+16) / (x+16) is = 48/24.

Please explain.

Ashu said: (Jan 28, 2011)  
Although, I got the solution but cann't we add 16 in the second step, as the fater age is increased by 16 I. E 8 and further 8 years.

Dinesh Reddy said: (Jan 29, 2011)  
Ya 4x is absolutely right.

Uttam said: (Jan 29, 2011)  
Age of son=x
then,
(x+3x)=4x
after 8 years
(4x+8)=2.5(x+8)
8x+16=5x+40
x=8
after 8 years
(4x+16)=y(x+16)
wkt x=8
s0,
y=(32+16)/(8+16)
y=2.

Rudra said: (Feb 17, 2011)  
Thanx vaishu for your answer of the last step

Vinod said: (Mar 4, 2011)  
Thank you vaishu.

Dimple said: (Mar 26, 2011)  
Acc to me 5/2 multiplied on fathers side?

Pari said: (Mar 31, 2011)  
Can anyone clear how d equation of(4x+16)/(x+16) is = 48/24

I mean from where these values 48/24 are coming...
plz clarify this point only

Pari said: (Mar 31, 2011)  
Ohhh got it ...we are to put d value of x i.e 8 in d equation...:)

= (4x+16)/(x+16)
= (4x8+16)/(8x16)
= 48/24
= 2 times
:)

Shivani said: (Apr 13, 2011)  
How 5/2 come?

Harvinder Singh said: (Apr 15, 2011)  
Two and half mean.. 2+1/2= 2/1+1/2=(2*2+1)/2=(4+1)/2=5/2

Minal said: (Apr 27, 2011)  
Hi,

See two and half means 2*1/2

So 2*2+1 = 5/2.

Amrutha said: (Apr 29, 2011)  
Rohit age is x and his father age is 3x ofter 8 years rohit age is 5/2(x+8) and his father age is 3x+8 therefore

3x+8=5/2(x+8)
6x+16=5x+40
x=24

Rohit age is 24 then his father age is 72 year ofter 8 years

It becomes 32 and 80 it is exactly 2 1/2 times of rohit age so answer is 2 times.

Ezhil Arasan Scad Cet said: (May 3, 2011)  
Guess whatz the wrong here:
1st father age is 24 and Rohit age is 8...
atter 8 years: father age is shd b 24+8=32 and Rohit age is 8+8=16...
But in sum itz given after 8 years his age is 2.5 times>then Rohit age... But here 32 nd 16 two times only greater... Why?

Preethi said: (May 4, 2011)  
Thank you vaisu & uttam for your explainations.

Gautam Negi said: (May 6, 2011)  
Thanks a lot guys.

Savitha said: (May 17, 2011)  
We already add 8 years....to get the x value then Why we add 16 yrs in second step.

Rohan said: (May 20, 2011)  
Answer to 5/2(x+8) ...in example its is written that After 8 years, he would be two and a half times of Ronit's age

So two and a half is 2 1/2, now 2x2 is 4 and 4+1 is 5 so its 5/2..

Cosmicguypradeep said: (May 26, 2011)  
Simple
let the age of the son be "x"
father is aged 3 times more than his son so x+3x=4x

after 8 years,
4x+8=x+8....equation (1)
age will be 2 and half years i.e 2 1/2 = 5/2,
4x+8=5/2(x+8)
==> 8x+16=5x+40
==> x=8

after further 8 years;
4x+8+8=?(x+8+8)
4x+16=?(X+16)
==> ?=4x+16/x+16...equation (2)
==> substitute x=8 in eqution (2),
u will get ?=2

Arjun said: (Jun 3, 2011)  
@Cosmicguypradeep

Let the age of the son be "x"
father is aged 3 times more than his son so x+3x=4x }(i agree this part)

after 8 years,
4x+8=x+8....equation (1)( doubt here q1: how X=4X that is how father age is equal to son age )

Stella said: (Jun 15, 2011)  
Thank you friends for your explanations.

Ajay said: (Jun 28, 2011)  
Can anyone say how the term 5/2(x=8)comes in the 2nd part please ?

Pankaj said: (Jul 6, 2011)  
As the in statement state that fathers age would be 2 and 1/2 of the ronits ages.

Ronits age is x,
his fathers age is x+3x=4x,
after 8 yaers

(4x+8) = 2*1/2(x+8)
multiply 2*1/2 i.e (2*2+1)/2=5/2

4x+8 =5/2(x+8)

Ashwini said: (Jul 23, 2011)  
Thanks for explanation.

Shraddha said: (Jul 31, 2011)  
As in question, fathers age is three times more than son's age. If we take sons age as x than father's age wll 3x how that 4x?

Subrata Hazra said: (Aug 1, 2011)  
It is very much clear in the question first line that father is aged three times more than his son Ronit.

So simple is that if his sons age -x , then his age is x+3x = 4x

Ravee said: (Aug 9, 2011)  
Hi frndz my solution takes much lenghthy, but have tried to give a clear explanation

Let Father=F & Rohith=R
consider R's age as "X"
Now F's age will three times morethan R's age, so it'll be X+3X=4X
Now in 2011 F's age is 4X and R's age is X, but after 8 years say 2019 what is the F's age?
4X+8 and R's age X+8 (add 8 to F' and R)
As mentioned in the statement the age of F's is two and half(2+1/2) times ,so it will be 5/2.

STEP1:
Now on LHS side it is F's age
4X+8
and RHs it is R's age X+8 multiple of 5/2 as
4X+8=x+8(5/2)
=> 2(4X+8)=5(X+8)
=> 8X+16=5X+40
=> 8X-5X=40-16
=> 3X=24
=> X=24/3
Therefore X=8

STEP2:
again after 8 years
(4X+8+8)=(X+8+8)
=>4x+16=x+16
=>4x+16/x+16=?
we have X=8

So,
4*8+16/8+16=?
32+16/24=?
48/24=?
the ans is "2"

Hope u got it..

Ravee said: (Aug 9, 2011)  
Hi Sharaddha here sum explansn to your doubt.

As you said Father's age is three times then son's age.

Here x or 1x both are same, I think you done this way.

"X", to this three times as 1x, 2x, 3x.

This way u'll get 3x, but we know X and 1X are same so.

To X (or 1X both are same) it is three times as 2x, 3x, 4x.

Now the F's age is X+3X=4X.

Shweta Chaubey said: (Aug 10, 2011)  
Son present age is =x
than father's present age is=more than 3 times of son age
=x+3x
According to the question,
after 8 years..
x+8=x+3x+8
x+8=4x+8
and father will be 5/2 greater than son
5/2(x+8)=4x+8
5x+40=8x+16
3x=24
x=8
ratio after 8 years
4x+8+8/x+8+8=6/3=2

Durgesh said: (Aug 11, 2011)  
Hi friends,

Let son"s age is =1 then father age=4
which means ratio between father to son= 4 :1 (say f: s)........[1]
after 8 years this ratio = 2.5 : 1 ( f :s)
= 5:2...................[2]

but one thing is clear that difference betwwen father age and son age will always be same.


In eq. [1] difference is 3 and in [2] is 3 as it shuld be.

Now take a look at fther age .............it was 4 and after 8 years it is 5 ...it means in our values
I
n the ratio 1=8,
so ........................5=40(father age after 8 years)
and.......................2=16(son age after 8 years )

Hence after further 8 years later father age =40+8 =48 years and
................. son age = 16+8= 24

So ratio = 48:24
=2:1

Karan said: (Aug 23, 2011)  
@Ravee superb.

Shaila said: (Aug 24, 2011)  
Ravee too good explanation.

Manoj said: (Aug 25, 2011)  
@durgesh. Your explanation is very good. Nice one.

Jagadeesh said: (Aug 26, 2011)  
Thanks vaishu I understood your explanation clearly.

Chandu said: (Sep 5, 2011)  
THANKQ. Vaishu for your explanation.

Manohar said: (Sep 6, 2011)  
Try this way now the ratio is

4: 1
8 (4x2)=8 8-5=3x=8(5-2)
5 :2 5x1)=5 x=8
32 8 after 8 yrs 40 16 further 8 yrs 48 24 2;1

Parveen said: (Sep 22, 2011)  
Is thare any shortcut to solve this in seconds.

Parveen said: (Sep 22, 2011)  
It is very helpful.

Vineshgujjari said: (Sep 25, 2011)  
To all,

1)let ronit age be-> x,
2)father age be-> 3x+x,(as it is said 3 times more than ronit so 3x+x)
3)now it is said dat after 8 years,the father age will be two and half times ronit that is
father+8=5/2(ronit+8)
3x+x+8=5/2(x+8)
(4x+8)2=5(x+8)
8x+16=5x+40
3x=24
x=8.------(1)
4)again after 8 yrs,
x+3x+8+8=y(x+8+8)
4x+16=y(x+16)
now put x=8(from 1)
4*8+16=y(8+16)
32+16=y(24)
48=y(24)
Y=2.(hence solved)

Hope you all understand...

Karuna said: (Sep 28, 2011)  
(4x+8)=5/2(x+8) please can u explain me how this step came...
means,
father age was 4x sun age was x
next after 8 years,
father age was 4x+8 sun age was x+8

Now he would be 2 and half times more than his son right then,
Here i didn't get...

Vasa said: (Oct 19, 2011)  
The sum of ages of family members (both children and parents) is 360 years.The total ages of children and parents are in the ratio 2:1 and the ages of wife and husband are in the ratio 5:7.What will be the age of husband?

a)60 b)77 c)75 d)70

Answer : d) 70

Solution :

Sum of ages is 360 years.The ratio of children and parents ages is 2:1.

Total age of parents = 360 x 1 / 3 = 120 years

Ratio of wife and husband age is 5:7. Therefore, the age of husband = 120 x 7 / 12 = 70

Hence the age of husband is 70 years.

any one explain me????? plz how it came.

Suganya.S said: (Nov 23, 2011)  
How 5/2(x+8) please explain?

Basava said: (Nov 23, 2011)  
In question it is mentioned that After 8 years he(means father) would be two and a half times (5/2)of Ronit's age....

Leenus said: (Jan 23, 2012)  
I can't understand the last step can you please explain it.

Chithra said: (Feb 13, 2012)  
Hai Leenus, let us assume son's current age is x, fatther's age is 3 times more than that of son, so it will be x+3x=4x.

So present age of son is x and father is 4x. We want to find the ratio of ages after 16 years (8 and further 8, total 16).

So after 16 years fathers will be 4x+16 and son's will be x+16, hence that ratio came.

Now have alook at it, hope you will get that.

Lovely said: (Feb 16, 2012)  
I did not get how it became x+3x?

Naresh said: (Mar 5, 2012)  
Lovely please read question carefully..........

"At present age of father is (3)times more than his son"
(X=3)
"after 8 years age of father is (2 1/2)times more than his son"
(X= 2 1/2)
"AFTER 8 YEARS WHAT IS THE SONS AGE (i.e here, age of the son will be reducing half,gap of 8 years)"
So(X=2)
[1years->3times
8years->2 1/2times
16years->2times
24years->1 1/2times
32years->1times......................]

Kavya said: (Apr 2, 2012)  
I want details answer for 4x+16/x+16 and how did we get answer 48/24 please. Reply me.

Chinmay said: (Apr 15, 2012)  
Hey we got the x value is 8. So just put the value of 8 in place of x and find out the ratio, you definitely get the answer.

Roja said: (Jun 5, 2012)  
Thing logically friends first 8 years it decreases to off of next 8 years so. The answer is 2.

Indu said: (Jul 9, 2012)  
If father's present age 37 year then what's the age of son ? please help me.

Sara Shree said: (Aug 25, 2012)  
I think we should take father's age be y.
So x+8 is equal to (3y+8)5/2

Hmdeep said: (Aug 30, 2012)  
Thanks Jwala.

Adhi said: (Sep 10, 2012)  
Is there any formula this problem.

Akruti said: (Nov 18, 2012)  
Father age is 3 times in starting.
After 8 year father age will be 2 and half times of son.


Means after 8 year father age decrease 1/2 times.
i.e. 3-(1/2)=2(1/2)

So, after 16 year father age will be= 2(1/2)-(1/2) = 2 times of son.

Annapoorna said: (Jan 5, 2013)  
When it is "three times more" why should we take (3x+x)? It can also be (3x+2x) or (3x+.5x)?

Laxman said: (Mar 20, 2013)  
Hi @Annapoorna,

It is supposed of x years for son and in question father is more than 3 years of son so that it is of (3x+x). Thanks.

Nihal said: (Mar 23, 2013)  
What is the meaning of last line of Question?

And how it is resolved?

Bhoomika said: (Apr 19, 2013)  
How do we get (4x + 16) divide by (x + 16) instead of (4x+16)=(x+16)?

Prachi said: (May 5, 2013)  
There are times when we take x & y both variable. So how to identify whether we have to use 1 variable or both?

Vinay Kumar Jadhav said: (May 17, 2013)  
For this sum answer should be option(B) which is 5/2 in fraction and in mixed fraction which is 2 1/2.

Vroom said: (May 17, 2013)  
Two and half times means : 2.5.

Multiply both numerator and denominator by 2.

Thus,

2.5 x 2 / 1 x 2.

5/2 or 2.5.

Newbie said: (May 30, 2013)  
It doesn't make sense why ppl take the fathers age as 4X just becos its says 'times more' . what if the son's age is 'times less' of the father? :D

So I made a calculation based on logic and it comes to this
son's age = x.
Father's age = X x 3 = 3X.

After 8 years father is 2 and half years older than his son, so if we add 8 years to the fathers age it will be equal to 2 and a half times of the son's age.

i.e 3X + 8 = 2 and a half times of X.
3X + 8 = 2 1/2 x X.

From the equation X = 16.

Now the fathers initial age = 3X.
= 3 x 16 (X=16).
= 52.

After 16 years (8+8 years) father will be,
= 52 + 16.
= 64.

In the same way the son after 16 years will be,
= X + 16.
= 16 + 16 = 32.

Hence the difference of their age will be, 64 divided by 32
= 64 / 32.
= 2.

So the Father will be 2 times older than the son in 16 years :D.

Lillyane67 said: (Jun 3, 2013)  
And as @newbie said, if its correct then I am failing to understand that why is 3x + 8 = 2.5 x ? Shouldn't it be 3x + 8 = 2.5 (x + 8), because even the son's age should have been added to 8 right ?

Nivetha said: (Jun 11, 2013)  
Fathers age is 3 times more than his son 4x.

But after getting full stop considering and comparing other sums I can understand like this (x+8). How we put (4x+8) in fathers age?

Anil said: (Jun 30, 2013)  
@Poonam And @Thara in question this given that two and half.

Means 2and half which is 2.5 and 5/2 is same equal to 2.5.

Don't get confused in 2/5 and 2.5. Because 2/5 is .4 not 2.5.

Manjulapriya said: (Jul 22, 2013)  
2 and a half means 2*1/2 is simplified 2*2=4, and 4+1=5 is come 5/2.

Jyoti Chaudhary said: (Jul 24, 2013)  
Let Ronit's age = x.

Father's age = x+3x (three times more than his son Ronit) = 4x.

After 8yrs.

Ronit's age = x+8.

Father's age = 4x+8.

But father will be two and a half times of Ronit's age so.

4x+8 = 5/2 (x+8).

x = 8.

Further after 8 years.

Ronit's age = x+8+8 = x+16.

Father's age = 4x+8+8 = 4x+16.

We know the value of x is 8 so putting value of x.

Now,

Ronit's age = x+16=8+16=24.

Father's age = 4x+16 = 4*8 +16 = 32+16 = 48.

Now we will calaulate the ratio of father's to ronit's age.

Father's age/ronit's age = 48/24 = 2.

Thus 2 is answer.

Mani said: (Aug 8, 2013)  
For all your folks let me tell my method.

First he has given father's age is 3 times of rohit so if rohit age 1, then his fathers will be 1+3=4 i.e. the ratio will be 4:1.

Now after 8 years the ratio given is (2.5) :1.

Now 4-1=3.

2. 5-1=1. 5 for my method you have to keep the difference in two ratios must be same, so multiply (2.5) :1 with 2. It becomes 5:2 i.e. 5-2 = 3 the difference is same as of 4-1=3 now remember we got 5:2 after 8 years i.e 4:1.

8 years hence 5:2

Now 5-4=1= 8 years.

So that makes 40:16.

After further 8 years 48:24 i.e.TWISE (2 times).

Bharani said: (Sep 3, 2013)  
@Newbie.

You made a wrong calculation 3*16 = 48 and 52+16 = 68.

Aviskar Chapagain said: (Sep 25, 2013)  
Let,

Father = X.
Ronit = Y.

1st case:
X = 3Y.

2nd case:
X+8 = Y/2.

Third case:
X+16 = Y.

2X+16 = 3Y. From 1st and second case.

Then subtract third case in it. You will get,

X=2Y.

Noor said: (Sep 26, 2013)  
Three times parents age of a father is equal to eight time age of his son. Eight years hence the father will twice as old as his son at that time. What are the parent ages?

Can any body solve this question?

Sudipta said: (Nov 21, 2013)  
Father can't comes to sons age i.e. Father can't come to Ronit's age. Have doubt in?

Mayank Varshney said: (Nov 22, 2013)  
Actually the point is Ronit's father is more than 3 times. So 4x is absolutely right.

Rohini said: (Nov 29, 2013)  
Fathers is aged three times more than his son Ronit.

Assume Ronit's age is x.

Hence fathers age is 3 times more (3x) + in Ronits (x)age,

Which gives, (3x+x) that is 4x.

Prasanna said: (Nov 29, 2013)  
Let us assume father age is x.

G. T father age is 3 times greater than rohit age so (x+3x) = 4x.

G. T after 8 years he would be two and half times of ronit's age so 2 (1\2) = 5\2 (2*2+1) /2.

After further 8 years.

(4x+8) = 5/2 (x+8).
8x+16 = 5x+40.
8x-5x = 40-16.
3x = 24.
x = 8.

After further 8 years.
(4x+8) = (x+8).

Add 8 then.

(4x+8+8) = (x+8+8).
(4x+16) = (x+i6).

Required ratio = (4x+16)/(x+16) = 48/24 = 2 (sub x=8).

Rashmi said: (Jan 8, 2014)  
Hello guys my problem is this why 5/2 is multiplied with (x+8) not with (4x+8). When question is saying father's age would be two and half time of ronit age.

Jyothi Sajjan said: (Jan 9, 2014)  
Hi @Rashmi (4x+8)is cross multiply with 2(denominator)then it becomes 8x+16. and, 5(numerator) is multiplied with (x+8)then it becomes 5x+40 this is the correct manner.
Have a nice day.

Darshana said: (Jan 25, 2014)  
How you got ratio (4x+16)/(x+16) ?

Can you explain the last step of ratio.

Chithra said: (Jan 27, 2014)  
We have 4x+8 = x+8.

Further 8 years means we need to add another 8 on both side,
i.e.. 4x+8+8=x+8+8, which becomes 4x+16=x+16.

We can also write this as (4x+16)/(x+16). Then substitute the value of 8 in that we will get the answer.

Akhila said: (Feb 17, 2014)  
Why this last step = (4x+8+8)/(x+8+8) should be divisible only?

Madan said: (Feb 20, 2014)  
Again Repeat in question after 8 year find then you should take equal then put the value of x then find the value of 2.

Vinay said: (Mar 3, 2014)  
Why 5/2 is multiplied?

With (x+8) not with (4x+8). Someone above said to cross multiply 2 *(4x+8) but I dint get it.

Doll said: (Mar 3, 2014)  
We can say that father age = y(ronits age).
So (4x+16)= y(x+16).

i.e (4x+16)/(x+16) = y.

Here we know x value.
So we can calculate y value.

Ibbu said: (Mar 11, 2014)  
Where is 5\2 coming from?

Nebin said: (Mar 23, 2014)  
Present age s=24, f=72(3 times more than).

After 8 years s=32, f=80(now two and half times).

Again after 8 years s=40, f=88(now 2.2 times). I got like this please give correct answer..is it correct or not?

Mantsss said: (May 4, 2014)  
@Ibbu.

As said in the problem itself.,
father is two and a half years older than his son after 8 years.

So.,

2*(1/2)=((2*2)+1)/2=5/2.

Or you can think as - five divided by 2 always equals to, two and a half...!!!

Got it...??? :).

Gaurav Mahajan said: (Jul 4, 2014)  
I want to something why we divided in the last step by 4x+16/x+16 = 2.

Janu said: (Jul 8, 2014)  
After Means We have to add plus symbol. So after 8 years means 4x+8 then another after 8 years means add another plus 8 so it become 4x+8+8. So equation become 4x+16. Like that For Rohit x+16.

Godwin said: (Jul 31, 2014)  
It is clearly mentioned two and half times. Therefore 2and 1/2.

i.e., (2*2+1) /2 = 5/2.

Manisha Prasad said: (Aug 13, 2014)  
Father is aged three times more than his son Ronit = four times of son's age. Is it justified?

Three times more = four times.
HOW can we say this?

Three times more means it could be 3x+1, or 3x+2,.....or five times....it could be anything..

So how can we say three times more = four times.

Supriya said: (Aug 20, 2014)  
It is given in the question that Father is aged three times more than his son Ronit and v have taken Ronit's age as x and father's age as 3x.

Since father age is MORE THAN his son's age it is x+3x.

Deepak Verma said: (Aug 23, 2014)  
Why we are taking ratio at end of solution?

Satyam said: (Sep 1, 2014)  
How the ratio b 4x+16\x+8 ?

It should be 4x+8\x+8 is correct.

Aqeel Sadiq said: (Sep 9, 2014)  
@Satyam.

Consider a ratio a:b, in x years given ratio will be ax:bx.

After 8 years it will be ax+8:bx+8.

Haritham said: (Sep 15, 2014)  
How it is 4x ?

Kinnu said: (Oct 1, 2014)  
Hey guys I had a simple logic for you.
Father=three times more of his son.

After 8 years father is 2 and a half of his son it means there is a reduce of 1/2.
So for another 8 years there will be a constant reduction of another half i.e; 2 times of his son.

Magesh said: (Oct 2, 2014)  
I am so confused, after I did not get the answer.

Please anyone explain this problem clearly.

Abhi said: (Oct 15, 2014)  
Nothing to confuse .. Let take sons age as x. Then father age will become 4x as given in question (father's age is three times more than sons age read carefully its not fathers age is three times to sons age.. If three times to sons age means father age will become 3x).

After 8 yrs father age is 2 1/2 of sons age..So,

4x+8 = 2 1/2(x+8).
4x+8 = 5/2(x+8).
2(4x+8) = 5(x+8).
8x+16 = 5x+40.
3x = 24.
x = 8.

Harry said: (Oct 22, 2014)  
Father's age should be 3x and not 4x as some people are saying. It says Father is aged three times more than his son Ronit.

So, it should be x and 3x and not x+3x.

Aritra said: (Nov 24, 2014)  
For all those who have a doubt how 5/2 came.

2+1/2 = 4/2+1/2 = 5/2.

Seema said: (Jan 10, 2015)  
Can any one tell help me to solve (4x+16) / (x+16) this problem?

Simmo said: (Jan 17, 2015)  
Hi @Seema.

x = 8.
(4x+16)/(x+16) = 4*8+16.

= 24+16.
= 48.
= 8+16 = 24.
= 48/24.
= 2.

Er. Pradeep Maurya said: (Jan 20, 2015)  
Hi @Seema.

Here BODMAS rules are applied, where we solved first brackets (4x+16).

Put x = 4 then (4*8+16) = 48.

Then next brackets (x+16). Put again x = 8 then (8+16) = 24.

Now please see the sign between both the brackets that is divide sign, so please now divide 48/28 = 2.

Thank You.

S.Raza said: (Jan 31, 2015)  
@Seema.

If still you are not understanding you can put value of x in equation of last part of the question.

Anuj Rojlove said: (Mar 15, 2015)  
Consider son's age as 'x'.

So they have said,
Father is aged three times more than his son.

As per the statement, x+3x.
After 8 years, he would be 2 and a half times of his son.

So, x+3x+8 = x+8.
4x+8 = x+8.
(4x+8) = 5/2(x+8).

We get, 8x+16 = 5x+40 => 3x = 24.
x = 8.

After further 8 years,

So add 8 to the equation 4x+8+8 = x+8+8.
4x+16 = x+16.

So the ratio is, (4x+16)/(x+16) = 48/24.
=> 2 years.

Got it friends. Its simple?

Abhi said: (Mar 26, 2015)  
Let Ronit's age = x.

So father's age will be (x+3x), (Let suppose you have sister who is 1 year younger than you then after 20 year your age will be 21 (Your sister age + 20 yr) = your age. So same in this question father age will be x+3x.

Now after 8 years mean rule no.2 (If x is current age then n year later age will be (x+n)).

Father's age will be (4x+8) and Ronit's age will be (x+8).

Now come to question that after 8 years father's age will be 5/2 times of Ronit's age.

So F age = 5/2 times of Ronit's age.

4x+8 = 5/2(x+8).

So by this we get x = 8.

Now we have to find after 8 year.

= 4x+8+8 = y(x+8+8).

So by solving this y = 2.

Thank you :).

Dhanu said: (Mar 26, 2015)  
Any other short way to solve this question?

Hassan said: (Apr 2, 2015)  
How can such a question be solved with in one minute?

Sowndariya said: (Apr 4, 2015)  
Please explain the concept of solving this problem using shortcut method.

Sreeranga said: (Apr 14, 2015)  
(4x + 8) = 2.5(x + 8).

4x + 8 = 2.5x + 20 and equation multiplied by 2.

Kasinath@Hyd said: (Apr 17, 2015)  
2 and 1/2 == 5/2.

Since given "of Ronit's age", therefore multiply 2/5 to Ronit's age.

Naresh said: (Apr 28, 2015)  
I think answer is 2.2 times.

x = son Ronit's age now.

3x = father's age now <--- father is 3 times son.

x + 8 = Ronit's age in 8 years.

3x + 8 = father's age in 8 years.

3x + 8 = 2.5 (x + 8) <--- after 8 years, father is 2.5 times son.

3x + 8 = 2.5x + 20 <--- used distributive property.

0.5x = 12 <--- subtracted 2.5x and 8 from each side.

x = 24 <--- divided each side by 0.5.

3x = 72 <--- substituted 24, in for x, into 3x.

Son Ronit is 24 now & father is 72 now.

Son Ronit will be 32 in 8 years & father will be 80 in 8 years.

Son Ronit will be 40 after further 8 years & father will be 88 after further 8 years.

Father will be 2.2 times son after further 8 years.

Fuhar said: (May 6, 2015)  
The last step is easy but division sign gone somewhere else. Fathers age is 4X + 8 + 8 (here 8 + 8 are the years later) now divide this with sons age which is x. But after 8 + 8 years it would be x + 8 + 8 as we got x value substitute in the both numerator and denominator there you go you get as 48/24 and we taking in ratio forms as options are given in ratio like two times the son age etc.

Aafreen Rah said: (May 24, 2015)  
How it is 4x?

Father's age is three times more than his son's age means. We can say (3x+x) or (3x+2x)...

Why we take it as (x+3x)?

Jaee said: (Jun 9, 2015)  
In last step why the equations are divided? Why ratio is taken?

Sandhya said: (Jun 9, 2015)  
Aafreen Rah:

Its 3x+x because "Father's age is 3 times (3x) more than (+) his son's age (x)". Here son's age is "x" so just add "x" age to 3times (3x).

Umesh Jangale said: (Jun 12, 2015)  
Hello @Sundar,

Please tell me how did you take [(4x + 16)/(x + 16))]this ratio.

(4x + 16)/(x + 16).

Saresh said: (Jul 4, 2015)  
All are wrong answer.

Current answer is 2 1/5 time.

That is father first age is 72 answer his son age is 24 (3:1).

After 8 years father age is 80 and son age is 32 (1: 2. 5).

After 8 years father age is 88 and son age will be 40 (1: 1. 2).

So all option are incorrect.

Rash said: (Jul 19, 2015)  
Suppose age of Rohit is x so, age of father is 3x.

Now, (3x+8)/(x+8) = 2.5/1.

We get x = 24.

So age of father = 3*24 = 72.

So that after 8 the ratio became 2.5:1.

Further after 8 years. The ratio is 88/40 = 2.2.

But I don't get the answer 2.

Anan Boro said: (Jul 20, 2015)  
I have no doubt after all yours discussion to simple answer, thanks all of you.

Priyanka said: (Aug 7, 2015)  
How is come x+16?

Alok said: (Aug 16, 2015)  
Is there any other method to solve this question?

Aadi said: (Aug 17, 2015)  
Really nice explanation! good work. :)

Manjunatha said: (Aug 27, 2015)  
Till some candidates are getting doubt, guys be revise from 1st answer, definitely you will get the ability to solve yourself in future.

M.Yagya Saini said: (Aug 27, 2015)  
If the age of father is 5 times more then his son. If the sum of the ages is 72 find the age of father and mother?

Ans:- 13=son, father=59. How is that possibly?

Sushil Verma said: (Sep 3, 2015)  
Guys it is very simple question I ll try to make you understand. Father is more than three times not three time so it will be 3x + x = 4x.

Then after 8 years father age will be 2.5 times than Ronit age= 5/2.

So 4x + 8/x + 8 = 5/2.

x=8.

Again after 8 years ratio will be 4x + 8 + 8/x + 8 + 8.

Let put the value of x so it will be = 4*8 + 8 + 8/8 + 8 + 8 = 48/24 = 2.

Khan said: (Sep 8, 2015)  
Now review this Concept if you absorb it. It will be very helpful,

3:1.
5:2.

As the above ratio is not proportion so to proportionate it.

(3:1)*3 => 9:3.

(5:2)*2 => 10:4.

(9-10) = 1 but actual its 8 year difference.

Hence x = 8.

Now multiply 8 to the above ratio (not the original one but after proportionate one) and get answer.

It seems lengthy but it hardly take 1 minute to get answer hope you enjoy, ask me in detail if any.

Neeraj said: (Sep 10, 2015)  
Father's age is = 4x, because.

Let the age of child is x.

And given in question is age of father 3x time of the child age.

Then x+3x = 4x.

Himank said: (Sep 12, 2015)  
@Neeraj you are wrong.

If it is 3x time of the child age then it is 3x.

But it is mentioned 3x times more than the sons age then it is 4x.

(3x+x).

Yash Anand said: (Sep 12, 2015)  
Can anybody tell me the shortest trick to solve this question? I mean in less than a min.

Vinitha said: (Sep 26, 2015)  
Any shortcut to solve this type of problem? please share.

Kp Karthick said: (Oct 2, 2015)  
How you get 5?

Vishal Singh said: (Oct 3, 2015)  
How is it (4x + 8) = 5/2(x +8)?

It should be multiplied in 5/2(4x +8). Because he is the age of father.

Any body explain?

Kjkj Tikhir said: (Oct 17, 2015)  
In the last step why no one is taking care of : After 8 years, he would be two and a half times of Ronit's age.

Tuhin Pali said: (Oct 30, 2015)  
I solved in this way.

Per 8 years age decrease: (3x-5x/2) = x/2.

"1" " " x/16.

After 16 years = 16*x/16 = x.

3x-x = 2x.

After 16 years. So 2 times of Ronit's age. As father's age x.

Srikath said: (Nov 16, 2015)  
First time more than 3 years of his son's age, after 8 years 2 and 1/2 years of Ronit age. Then finally 2 times of his son's age.

If you observe 1/2 times decreasing in ratio so its only guess.

Sajan said: (Nov 26, 2015)  
Son age = x.

Father age = 3x+x.

4x+8 = 2.5 (x+8).
4x+8 = 5/2 (x+8).

2(4x+8) = 5(x+8).
8x+16 = 5x+40.

8x-5x = 40-16.
3x = 24.

x = 8.

Now follow the rest.

Chandan Debnath said: (Dec 24, 2015)  
What is that? Father's age is 3 times of Ronit so is it came 4x?

Jon said: (Jan 21, 2016)  
If, X = 8 than, when son was 8 father was 24.

When son was 16 father will be 32.

How 32 is 2.5 multiplier of 16?

Swati Mane said: (Feb 7, 2016)  
Please, explain last ratio.

Aishu said: (Feb 15, 2016)  
Ten years ago Ram was thrice as old as Sham was but 10 years hence; he will be only twice as old. What is Ram's present age?

Manju said: (Feb 16, 2016)  
@Aishu.

Answer for your question:

http://www.meritanswers.com/questions/calculate-ram-present-age/17229-1-1

Laxmipriya said: (Feb 25, 2016)  
Why will we add 8 + 8?

Abhinav said: (Feb 29, 2016)  
Please explain.

Father is aged three times more than his son Ronit.

Then why father age = x, and Ronit age is = x?

Why not father age = x? And son Ronit age = y.

Maqsood said: (Mar 3, 2016)  
Let the present age of Rohit be 'x' years and the present age of the father be 'y' years. As per the question father is aged three times more than his son hence, y = x+3x = 4x.

Therefore present age of father is y = 4x.

Given that after 8 years, he would be two and half times of Rohit's age.

Therefore,

y+8 = 5/2(x+8).
4x+8 = 5/2(x+8) {since y = 4x}.
2(4x+8) = 5(x+8).
8x+16 = 5x+40.
8x-5x+16-40 = 0.
3x-24 = 0 => 3x = 24 => x = 24/3 = 8.
x=8,

After 8 years,

y+8 = x+8.
4x+8 = x+8 {since y = 4x}.

After further 8 years, 'k' times would be the Rohit's age.

Therefore,

4x+8+8 = k (x+8+8).
4x+16 = k (x+16).
k = (4x+16) / (x+16).
k = (4.8+16) / (8+16).
k = 48/24.
k = 2.

Therefore 2 times would he be Rohit's age.

R.G.Varun said: (Mar 10, 2016)  
5/2(x+8).

The ans is simple at present 2 1/2 +3=5/2 and present age is x and after 8 years +8 so (x+8).

Randy Orton said: (Mar 20, 2016)  
How this 5/2 got?

Naveen I S said: (Apr 3, 2016)  
Let us assume Ronit age is 10 years, Father age is 3 times of Ronit age, so 10*3 = 30 years.

After 8 years Ronit age will 18 years father age will be 2.5 times of son age, so 2.5*18 = 45 years.

After 8 years father age would be 45 + 8 = 53 years and Ronit age would be 26 years.
So, 53/26 = 2.03.
Answer is 2 times.

Nitin said: (Apr 21, 2016)  
Very helpful to practise the problems. Thankyou all.

Shab said: (Jun 5, 2016)  
Why can't be father' age (x + 3)?

Why it should be taken as (x + 3x)?

Harsh Vardhan said: (Jun 6, 2016)  
Father's age is 3x + x = 4x.
After putting 4x in the equation of 4x + 8 = 5/2(x + 8), then I got 8.

Further, I found that son's age is 8 and father's age is 32 because F = 4x.
Later I made an equation F's age + 8 = Son's age + 8 * y (i.e. F + 8 = 8 + 8 * y). I can't find the solution.

Please help me out.

Harsh Vardhan said: (Jun 6, 2016)  
I have seen many solutions above but can't figure out that how they took 8 + 8 in the further 8-year equation.

Can anyone help me by explaining it?

Varinder said: (Jun 9, 2016)  
@ Harsh

See Rohit present age comes out to be 8.

His father age is 32.

Now add 8 to both of these. Will be 16 and 40 respectively. Later is 2.5 times the former, adding 8, they will be 24 and 48 with latter is 2 times the former which is the answer. Hope it worked

Nilesh Kale said: (Aug 20, 2016)  
How you got 5/2? I can't get that.

Husain Sr. said: (Aug 25, 2016)  
Here, 2 and a half means 2.5.

So, 5/2 = 2.5.

Example: 3.5 means 7/2. Hope you get it.

Ammulu said: (Aug 27, 2016)  
Thanks @Vaishu. You explained it very clearly. :).

Ismail said: (Aug 31, 2016)  
Your clarification is very simple, Thanks @Vaishu.

Vignesh said: (Sep 6, 2016)  
I didn't understand the last step of the explanation. Please clarify me.

Sonu said: (Sep 9, 2016)  
How is it 4x? I didn't get it please tell me clearly.

Selva said: (Sep 25, 2016)  
if Father is aged three times more than his son Ronit means, 3x + x = 4x then After 8 years, he would be two and a half times of Ronit's age.

In that above 'he' represent Ronit's father which means
(3x + 8) = 5/2(x + 8) right?

Then, how it will be (4x + 8) = 5/2(x + 8)?

Kishan said: (Sep 26, 2016)  
@Maqsood nice explanation. Thank you.

Arpitha said: (Oct 5, 2016)  
It's so simple!

The value of x is ''8'' so 4 x is (4(8) + 16)/(8 + 16) and you get 48/24 = 2.

Kavana said: (Oct 18, 2016)  
A is 2 years older than C and B is 2 years younger than C. The ratio of A's 6 years ago and B's 8 years ago is 6 : 5. Find C's present age.

Coolcalm said: (Oct 19, 2016)  
Father F and Rohit R.
So, F = 3R + R = 4R.
After 8 years,
F + 8 = 2 1/2 (R + 8) means, F + 8 = 5/2 (R + 8).

So, 2(F + 8) = 5R + 40,
2(4R + 8) = 5R + 40,
8R + 16 = 5R + 40,
3R = 24,
R = 8.

Rohit's present age = 8 years.
After 16 years of present day (8 + 8).
Ratio would be F + 16/ R + 16.
So, 4R + 16/R + 16,
4(8) + 16/8 + 16 = 48/24 = 2.

Rahul said: (Nov 13, 2016)  
Anil got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Anil's sister was 10 years younger to him at the time of his marriage. The age of Anils sister is?

Solve this problem.

Vignesh said: (Nov 15, 2016)  
You can also solve this problem by taking son's age as x and father's age as y. First, y = 4x as it is 3 times 'more' than that of his son. Then after 8 years son's age will be x+8 and father's age will be y+8=5/2(x+8) after solving you will get x = 8 and y = 32. Then after 16 years let father be n times of son's age i.e y + 16 = n(x + 16).

or 32 + 16 = n(8 + 16)
[putting x = 8 and y = 32]
or 48 = 24n,
or n = 2.

Therefore father is 2 times his son's age after 16 years.

Yalleswari said: (Nov 22, 2016)  
How required ratio 4x + 16/x + 16 come?

Ramesh said: (Nov 24, 2016)  
@Yalleswari.

As per the statement, x + 3x.
After 8 years, he would be 2 and a half times of his son.

So, x + 3x + 8 = x + 8.
4x + 8 = x + 8.
(4x + 8 ) = 5/2(x + 8).

We get, 8x + 16 = 5x + 40 => 3x = 24.
x = 8.

After further 8 years,

So add 8 to the equation 4x + 8 + 8 = x + 8+ 8.
4x + 16 = x + 16.

So the ratio is, (4x + 16)/(x + 16) = 48/24.
=> 2 years.

Shushant Mishra said: (Dec 6, 2016)  
Let the age of son be x then age of father will be 4x so we have ratio of father and son equals to 4x:x again after 8 years this becomes 5/2x:x as we all know that difference of age remains same then to make it same multiply above by 2 so that it becomes 5x:2x, therefore in 8 years 4x becomes 5x hence x is equal to 8 putting the value we get the age equal to 40 and 16 respectively and after 8 more years it will become 48 and 24 and hence father's age will be twice of son.

Rekha Thakur said: (Dec 8, 2016)  
How you are getting 5/2?

Which has 1/2?

Shushant Mishra said: (Dec 12, 2016)  
@Rekha.

2 and half times means 5/2 times.

Nitesh Kumar Meena said: (Dec 15, 2016)  
Guys! It's three times more that mean 4x if it would be three times then we used 3x.

Vinaya Kumari said: (Dec 19, 2016)  
Hi friends,

It's three times more that, that is 3x not 4x.

Hrishikesh Shelar said: (Dec 21, 2016)  
Father is Tree times more than his son.

i.e. Ronit age is also considered while calculating his father age so, Ronit age+ 3*Ronit age = His father's age. Here " Father more than" this word is important.

If Suppose Question is as Father's age is three time the Ronit age then & then only it 3X.

2. Two & half means 2+1/2= 5/2.

Good luck!

Krishna said: (Jan 11, 2017)  
(4x+16)/(x+16)=(4(8)+16)/(8+16)) = 48/24 = 2years
We must submit the 'x' value in 'x' place.
X = 8
So, put 8 in x value.

Then you will get the answer.

Raj said: (Jan 31, 2017)  
I can't understand this problem the second step is very confusing.

Someone help me to get it.

Md Haroon said: (Feb 23, 2017)  
I can't understand this problem please someone help me to get it.

Bhargav Kolluru said: (Apr 23, 2017)  
Why should we take 5\2?

Sachin said: (Apr 30, 2017)  
Answer is 2.2 = 2 1/5.

Karthick said: (Jun 8, 2017)  
5/2 simply how we can get 2 * 1/2 it implies 2*1/2=(4+1)1/2=>5/2.

The proper fraction will be used into the mixed fraction format.

Damo said: (Jun 9, 2017)  
For ratio sub 8 in x so we get (4(8)+16)÷(8+16)=2.

Rahul said: (Jun 26, 2017)  
Hi guys, how the problem is well segregate? Means where I place the proper place of future age. and present age? Please tell me.

Nishu said: (Jul 1, 2017)  
Thanks @Vivek.

Sandeep said: (Jul 6, 2017)  
Hi, guys, in question itself says that father age is more than 3times of his son then x+3x is correct.

Shiv said: (Jul 13, 2017)  
How the ratio be 4x+16/x+8?

It should be 4x+8/x+8.

Amy said: (Aug 1, 2017)  
Because it is asked to find out how many times would his father be of Ronith's age?

Vaishnavi said: (Aug 12, 2017)  
How that 5/2 came?

Ashish said: (Aug 28, 2017)  
How (4x+16)/(x+16) = 48/24 came?

Please explain.

Kamesh said: (Oct 13, 2017)  
First, we think Rohit age is x, equation given for after 8 years. And at the end the question is further 8 years it means x+8+8=x+16 same way for father also.

Pavithra H L said: (Nov 25, 2017)  
Thanks for the explanation @Jwala.

M. Sallah said: (Dec 6, 2017)  
Well explained. Thanks.

Farhad said: (Dec 6, 2017)  
5/2=age of two and half=2+1/2=5/2.

Sanju said: (Apr 7, 2018)  
It is 3 times of fathers age.

i.e 3son not 3+son coz it is given 3 times more not 3 years. So observe the question and final answer would 3 not 2.

Suraj said: (May 23, 2018)  
@Sanju.

They've stated that Father's age is 3 times more than son's age.
Not 3 times of fathers age.
then;
If son's age is 'x' then according to the statement "3 TIMES MORE THAN SON'S AGE" Means 3x+x.
Thus, 3x+x=4x.

Sonam Nishad said: (Jun 5, 2018)  
I have a doubt if I'm trying to resolve this question by a short trick like:- if I assumed if son's age is 1 than father age should be 3times of his son
F ---- S.
3 ---- 1 then after 8 yrs it will be 5/2 it's mean
5 ---- 2.

Let's take the difference that is 2 &3, now to make equality in both our new ratio would be
9 F ---- 3S
10 F 4S, let's take the diff = 1.
1 = 8 ratio, now if I multiply in present ratio it's should be 72 and 24, that's mean F is 3 times of his son, but in your answer 2. Pls explain me.

Javed Patel said: (Jun 29, 2018)  
@Sonam.

3 is the correct answer.

John said: (Jul 18, 2018)  
How come 4x+16/x+16 = 48/24? Anyone explain me.

Prashant said: (Jul 19, 2018)  
How this ratio came into picture 4x+8?

Suhail said: (Jul 25, 2018)  
How comes 5/2? please explain.

Rohan said: (Jul 26, 2018)  
Can't we take 2.5 instead of 5/2?

Sharad said: (Jul 28, 2018)  
How last step 4x+16/x+16?

Saiganesh Murarishetty said: (Aug 25, 2018)  
For every 8 years father's age decrease by halftime of his son's age so after further 8 years (5/2) - (1/2) =2 times.

Neethu said: (Sep 1, 2018)  
Let son age be x.

Father's age is 3 times more than son's age.
Which means x+3x=4x.
After 8years.
X+8=2 and half of x.

When we solve the equation we will get x as 8.
4x=32,

In the beginning of the question state that father's age is 3 times more than son age.
So x=8 then 3x=24.
After further 8years it becomes,
32+8=40.
3*8=24 and 5*8=40,
3-5=2.
and 2 times.

Venakta Narayana said: (Sep 30, 2018)  
As they said that father age is thrice,hence;

Let father present age = x,
Ronith age = y,

X = 3 * Y. => Y=X/3.

In the 2nd part, they mentioned that aftr 8yrs father age is 2.5 times of his son's age, hence
(X+8)=5/2(Y+8).

By substituting y=X/3, we get father present age i.e X=72yrs, Y=24yrs.

Then again he asked that how many times the difference between father and sons age further 8 yrs later;
Say later 8 yrs their difference is z. Hence
(X+8)=z(Y+8).

Putting X=72 and Y=24.
Then we get the difference is as z=2(approximately).

Santhiya said: (Oct 23, 2018)  
@All.

Simply, the solution is;

Given:

Ist father age= 3 times more than son age.
2nd after 8yrs father age= 2 1/2 times more than son age.
3rd after 8 yrs age =2 time more than son age.

Sandhiya said: (Oct 23, 2018)  
Given:

Father age = more than 3 times son age.
After 8years = more than 2 1/2 time son age.
After 8 years = more than 2-time son age.

Every 8 years 1/2 times reduced.

Payal said: (Oct 24, 2018)  
Ronit age = X.
Father age = 3x.
After 8 years.

(X+8) = (3x+8).
Half of of Ronit age.
(X+8) =1/2(3x+8).
X=8.

After further 8 years.
Both age ratio, where X = 8.
(3x+8)/X+8 = 32/16.
=> 2.

Arjun said: (Nov 23, 2018)  
Father age can be taken as x.
Son age is taken as y.

According to the first statement, father age is three times more than sons age at present is x=3y

According to the second statement after 8 years father age is 8 times more than the two and a half age of son age.

2*1/2 can be written as 5/2.
So, x+8=5/2y.
Substitute x=3y,
3y+8=5/2y,
3y-5/2y=-8,
1/2y=-8.
y=-16 after 8 years.
After 8 years father age is twice than son age.
Then after 16 years also twice than son ager.

Aiswarya said: (Dec 7, 2018)  
As it is said that father's age is 3 times more than his son's.

So father's present age 3x and son's age x.
After 8 yrs their age will be,
3x+8 = 5/2(x + 8),
3x+8 = ((5x)/2) + (40/2),
2 * (3x+8) = 5x + 40,
6x + 16 = 5x + 40,
x = 24.

So son's age will be 24.
And father's age will be 3x = 72.

Further 8 more years ie; after 16 years,
Son's age will be x+16 ie; = 40,
and father's age will be 3x+16 ie; =88,

Therefore (x+16) ÷ (3+16) = 2.2.

Ragav said: (Dec 17, 2018)  
Let the age of son be x then age of father will be 4x so we have ratio of father and son equals to 4x:x again after 8 years this becomes 5/2x:x as we all know that difference of age remains same then to make it same multiply above by 2 so that it becomes 5x:2x.

Therefore in 8 years 4x becomes 5x hence x is equal to 8 putting the value we get the age equal to 40 and 16 respectively and after 8 more years it will become 48 and 24 and hence father's age will be twice of the son.

Hafiz Yacir said: (Dec 18, 2018)  
I think 2.5(x+16) = (4x+16).

Neha said: (Jan 6, 2019)  
Son- x father- 3x BUT, it is said MORE than 3 times so x +3x= 4x.

Now, 8 years ahead, son= x+8 and father= 5/2*(x+8).
---> (x+8)=5/2*(x+8),
---> 2(x+8)=5(x+8),
---> 2x + 16= 5x + 40,
---> x= 8 - sons age.
father is 4x= 4*8= 32.

NOW, in total 16 years is asked from the beginning,
So, sons age= 8+16= 24,
Fathers age= 32+16= 48,
48 is 2 times of 24!.

Aman Mathur said: (Jan 7, 2019)  
@Amrutha.


The correct answer is 11:5.

Fathers present age :72
Son's present age :24
So ratio:- 3:1

After 8 years:
father's age: 80
son's age: 32
so ratio:- 5:2

Further 8 years after:
Father's age : 88
Son's age: 40
So ratio : 11:5 is the correct answer.

Shraddha said: (Mar 14, 2019)  
(4x+8) = 5/2(X+8).
= 8x+16 = 5x+40 how it came?

Swaraj said: (Mar 25, 2019)  
How 5/2 came? Can anyone explain.

Dinesh Bawa said: (Apr 12, 2019)  
Answer is 2.

ratio
F:S
3:1 After 8 yr.
5:2

(check differance |3-5|=2 & |1-2|=1 we know that ratio diff. must be same bcoz father age +8 with son age also +8 yr).

F:S
9:3 - - - >(x3)
10:4 - - - > (x2)
diff. =1 because of +8yr.
i.e 1=8.

The resent age father 3x8=24 + after 8 yr = 32.
The present age son 1x8=8 + after 8 yr = 16.

F/S=32/16= 2.

Samanth Kumar said: (Apr 12, 2019)  
How the ratio is 3:1?

It is 4:1 since in question it is clearly mentioned that "3 TIMES MORE THAN RONIT ".

Then only you'll get answer, never forget this if in question it says 3 times than another ratio will be 3:1, if it says 3 times more than or larger than other you should take 4:1.

Waghmare Jaydip said: (May 1, 2019)  
Hot come 5/2? Please tell me.

Rishi said: (Jun 19, 2019)  
Thanks for the explanation.

Tarunkumar Prajapati said: (Jun 24, 2019)  
Step 1: Father is aged three times more than his son Ronit.
Let's assume Son's Age as X,
Father's Age = X+3X = 4X.

Step 2. After 8 years, he would be two and a half times of Ronit's age.
4X+8 = 2.5(X+8),
4X+8 = 2.5X+20,
4X-2.5X = 20-8,
1.5X = 12.
X = 12/1.5.
X = 8.

So, Son's Age (X) = 8 and Father's Age 4X = 4(8) = 32 [We found the actual Age].

Now add 8 years: Son's Age = X+8 =8+8 =16 and Father's Age = 4X+8 =32+8 =40.

After a further 8 years, how many times would he be of Ronit's age?
Now add 8 years: Son's Age = 16+8 = 24 and Father's Age = 40+8 = 48.

So Correct answer is 2 times.

Ashok said: (Aug 14, 2019)  
How you got ratio (4x+16)/(x+16)?

Can you explain the last step of ratio?

Waqas Raza said: (Oct 10, 2019)  
Couldn't understand (4x+16/ x+16) = 2? what's the logic behind this?

Janmaijay said: (Oct 19, 2019)  
How two and a half times can be written like 5/2 it must be 2/5?

Varun said: (Nov 23, 2019)  
Why we have to add x=8 ? I think we have to substitute the the value of x. Can anyone explain?

Dharanisree said: (Dec 10, 2019)  
How 5/2?

Akshay said: (Jan 25, 2020)  
How 48/24 came?

Please tell me.

Priya said: (Feb 29, 2020)  
Why we are adding the 16 in the step 4x+16/x+16, sir.

4x+16/x+16 how to get this step. Please explain sir.

Stark said: (Mar 5, 2020)  
I got the answer as two and one-fifth times.

Pratheeksha said: (Mar 5, 2020)  
How 5/2? Can anyone explain.

Manmeet said: (Mar 19, 2020)  
The answer should be 2.5.

Neha said: (Apr 26, 2020)  
Let's Ronit present age be x.
Father's present age =3x.
After 8 yrs,
Ronits age = x+8.
Fathers age =3x+8.
3x+8=2.5(x+8)
X=24yrs.

Fathers age = 3x =3*24=72yrs
After a further 8 yrs,
Fathers age =72+8=80yrs,
Ronit's age=24+8=32yrs.
No.of times father age to Ronit age =80/32.
Then we get 2.5times(ans).

Durga said: (Jun 21, 2020)  
Let Rohit present age = x.
Father's present age=x+3x=4x.

(Because they mentioned he is 3 times more than Rohit's age not 3 times Rohith age so it's not 3x but its x+3x=4x).

After 8 yrs means Rohith age=x+3.
Father age=4x+3.

Father age is 2 1/2 times means( 2*2+1)/2=5/2 times,
so 4x+8=5/2*(x+8),
8x+16=5x+40,
3x=24,
x=8.
After another 8 yrs.
Father age/rohith age=(4x+16) / (x+16)
Fa / ra=(48/24) [since x=8].

Therefore father age=2 * Rohith age.
So answer is 2.

Pratiksha said: (Jul 10, 2020)  
@All.

Here father age is 3times so the last equation is wrong.

Rebecca said: (Jul 22, 2020)  
Why do we have to add 8 to 5/2 of x yet it was after 8 years?

So, 4x+8 =5x/2.

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