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:
326 comments Page 24 of 33.

R.g.varun said:   1 decade ago
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:   1 decade ago
How this 5/2 got?

Naveen I S said:   1 decade ago
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:   10 years ago
Very helpful to practise the problems. Thankyou all.

Shab said:   10 years ago
Why can't be father' age (x + 3)?

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

Harsh Vardhan said:   10 years ago
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:   10 years ago
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:   10 years ago
@ 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:   10 years ago
How you got 5/2? I can't get that.

Husain SR. said:   10 years ago
Here, 2 and a half means 2.5.

So, 5/2 = 2.5.

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


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