Question

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A.12 years
B.14 years
C.18 years
D.20 years

Answer 1

Age of son after 6 years =16+6=22years

Answer 2

let present of son be x and present age of father be y


sum = 60

x + y = 60 -----(2)

6 years ago:

age of son = x - 6


age of father = y - 6


age of father = 5 times the age of son


(y - 6) = 5 × ( x - 6)

y - 6 = 5x - 30


y = 5x - 24 -----(2)


put value of 'y' in (1) , we get


x + (5x - 24) = 60


6x = 84 => x = 14


present age of son x = 14yrs



after 6 years:


age of son will be


= present age + 6 = 14 + 6 = 20 yrs



Answer: option (d) is correct .