The sum of present age of 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:

Options

A. 45
B. 25
C. 20
D. 33

Answer

C

Explanation

Suppose, the present age of son be x years.
And, the present age of father = y years
According to question,
`x+y=60" "……(i)`
`impliesx=60-y`
6 years ago
5(x-6)=y-6
`implies5x-30=y-6`
`implies5x-y=30-6=24" "......(ii)`
After putting the value of x in equation (ii), we get :
5(60-y)-y=24
`implies300-5y-y=24`
`implies300-6y=24`
`implies6y=300-24`
`:.y=(276)/(6)=46` years
`:.x=60-46=14` years
After 6 years, the age of x
=(14+6) years =20 years