The sum of the ages of father and a son presently is 70 years. After 10 years, the son's age is exactly half that of the father. What are their ages now?

Options

A. 45 years, 25 years
B. 50 years, 20 years
C. 47 years, 23 years
D. 50 years, 25 years

Answer

B

Explanation

Suppose the present age of son
= x years
The present age of father = y years
`x+y=70" "......(i)`
According to question,
2(x + 10) = y + 10
`implies2x + 20 = y + 10`
`implies2x-y=-10" "......(ii)`
From equations (i) and (ii)
3x = 70 - 10 = 60
x=20
`:.y=70-20=50`