The present age of a man is seven times the present age of his son. Two years ago, the age of the man was elevent times the age of the son. Find the present age of the man (in years)

Options

A. 35
B. 26
C. 47
D. 45

Answer

a

Explanation

Let the son's persent age = x years.
`rArr` Present age of the man = 7 x years
`rArr` 2 years ago their ages are `7x -2, x -2`
Given that `7x - 2 = 11 (x - 2)`
`7x - 2 = 11x - 22`
`22 - 2 = 11x - 7x`
`4x = 20`
`x = 5`
`:.` Present age of the man `= 7 xx 5 = 35` years
Hence, the correct option is (a)