The sum of the present ages of a son and his father is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, what will be son’s age?

Question

The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?

A. 22 years

B. 23 years

C. 20 years

D. 21 years

Answer: C. 20 years

Solution:

Let the present age of the son = x

Then, present age of the father = ( 60 − x )

Six years ago father’s age was 5 times the age of the son

⇒ ( 60 − x ) − 6 = 5 ( x − 6 )

⇒ 84 = 6x

⇒ x = 84 / 6 = 14

Son’s age after 6 years = x + 6

= 14 + 6

= 20

Hence, The Son’s age after 6 years is 20 years.

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