Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 1)
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?
2 times
1 times
2
3 times
4
3 times
Answer: Option
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

Discussion:
319 comments Page 10 of 32.

TUHIN PALI said:   10 years ago
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.

Aviskar chapagain said:   1 decade ago
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.

Jyothi sajjan said:   1 decade ago
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.

Rohan said:   1 decade ago
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..

Anil said:   1 decade ago
@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.

Bharathviswa said:   1 year ago
It's 16 because we assume the son's age is x and the father is x + 3x = 4x.
We equate it and find the son's present age is 8.
So, we need to find 8+8 years, that's how it became 16.
(8)

Nivetha said:   1 decade ago
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?

Subrata Hazra said:   1 decade ago
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

Rohini said:   1 decade ago
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.

Jwala said:   1 decade ago
(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.


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