Aptitude - Problems on Ages - Discussion

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

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..

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.

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

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

@Ravee superb.

Ravee too good explanation.

@durgesh. Your explanation is very good. Nice one.

Thanks vaishu I understood your explanation clearly.

THANKQ. Vaishu for your explanation.