Question

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

• A. 14
• B. 18
• C. 21
• D. 20

Answer 1

The correct option is D

20

Let father's present age and son's present age be x and y respectively,

Given that x + y = 60 ------> (1)

Six years ago, father's age was x-6 and son's age was y-6
Given that $(x-6)=5\times (y-6)\therefore x-6=5y-30$
5y - x = 24 -------> (2)
Adding (1) and (2)
6y = 60 + 24
y = 14
Son's present age is 14, so after 6 years, son's age will be 20.