Question

"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?
A) Father = 50; Son =14
B) Father = 40; Son =24
C) Father = 60; Son =4
D) Father = 48; Son =16

Answer 1

Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

Answer 2

Q:

"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?

A) Father = 50; Son =14
B) Father = 40; Son =24
C) Father = 60; Son =4
D) Father = 48; Son =16

Answer:   B) Father = 40; Son =24 

Read Description:

Let the present age of the man be 'X' and son be 'Y',

Given, X + Y = 64 or Y = (64 - X)

Now the man says "I am five times as old as you were, when I was as old as you are",

=> So, X = 5[B - (X - Y)]

We get 6X = 10Y,

Substitute value for Q,

=> 6X = 10(64 - X),

Hence, X = 40, Y = 24.