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 28 of 32.

Shubham Londhe said:   5 years ago
It's only said his age would be 2.5 times of son's age after 8 years.

So only 2.5 * X seems logical. Why 2.5(X+8)? Explain it.

Gauri_ said:   5 years ago
Why 16 is added? Explain in detail.

Akash said:   5 years ago
@Gauri.

Because 8 Years+ 8 Years =16 Years.

Ganesh said:   5 years ago
I think 3 times more than X means = 3X And three times less than X means = X/3.

Vamsidhar said:   5 years ago
How come 4x? Explain.

Madhav said:   4 years ago
Let fathers age be f and son age be s
given
f= 3s+s = 4s.
f + 8 = 2 * (s+8) = 5/2 (s+8).

So 4s +8 =5/2 (s+8)we get s=8, also f= 4*8 =32.

Let x times.

Given,
(f+16) = x(s+16)substitute f and s value,
we get x=2.

Sree said:   4 years ago
Let Rohit age=X.
By condition:Fathers age=X + 3X,
After 8 yrs,
Fathers age=5/2(X+8).

So, 4x+8=5/2(x+8).
8x+16=5x+40.
X=8.

Sub x=8 in 5/2(x+8).
Ans:40.

After 8 yrs,
40+8=48.

Sons age present=8,
After 16 yrs, age=24,
24*2=48.

So, the answer is 3 times.

Thank you

Gora4663 said:   4 years ago
Let son age = x
Father age = y.

X + 3x =y( acc to 1st statemnt) ---> eq1
5/2(X+8) = y+8
5x+40 = 2y+16
5x-2y=-24 ---> eq2.

Solve eq 1 and 2 we get;
X=8 then y = 24,
After 16 year,
Son age 24 & father age 48.
Therefore 2 times.

Manoj said:   4 years ago
How (4x+16) / (x+16) is = 48/24? Explain please.
(2)

Sunil said:   4 years ago
The right answer is 3.

At first it is;
1 : 4.

then;
2 : 5.

Here difference after 8 years is 1.
1 part = 8 years.

Again we increase 8 years;
3 : 6.
(3)


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