Two years ago, a father was five times as old as his son. Two years later, his age will be 8 more than three times the age of the son. Find the present ages of father and son.

Options

A. 37,15
B. 47, 5
C. 42 , 10
D. 32, 20

Answer

C

Explanation

Let the present ages of the man and his son be x years and y years respectively. Then,
`(x - 2) = 5 ( y - 2 ) rArr x - 5y = - 8 " " `… (i)
` and (x + 2) = 3 ( y + 2) + 8 rArr x - 3y = 12" "`... (ii)