Question

Two years ago a man was five times as old as his son. Two years later his age will be eight more than three times as old as his son . Find there present age

Answer 1

Answer: Father 42 and son 10

Let the age of the father is x years and that of the son is y years.

Then by the given question,

x-2=5(y-2)

or, x-5y=-10+2

or, x-5y=-8

or, x=5y-8

x+2=3(y+2)+8

or, x-3y=6+8-2

or, 5y-8-3y=12

or, 2y=12+8

or, y=20/2

or, y=10

then x=5y-8=50-8=42

Then, the age of father is 42 yrs. and the age of sun is 10 yrs.

Answer 2

The age of man is 42 years and the age of his son is 10 years.