Question

Sum of ages of a father and son is 60 years. 6 years ago the father's age was five times the age of his son. Six years from now the son’s age will be

• A. 20
• B. 15
• C. 18

Answer 1

The correct option is A 20

Let the present age of the son = x years
Hence the father’s age is (60 -x) years
The age of the father, six years ago = (60 – x) – 6 = 54 – x years.
6 years ago, the son's age was = (x -6)
As per the question:
54 – x = 5(x – 6)
= 54 - x = 5x - 30
6x = 84
x = 14 years

Thus the son’s age after 6 years = (x+ 6) = (14 + 6) = 20 years