Question

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

Answer 1

Let the present age of father be x years and the present age of his son be y years.

After 2 years, father’s age will beyears and the age of son will beyears. Thus using the given information, we have

Before 2 years, the age of father wasyears and the age of son wasyears. Thus using the given information, we have

So, we have two equations

Here x and y are unknowns. We have to solve the above equations for x and y.

By using cross-multiplication, we have

Hence, the present age of father isyears and the present age of son isyears.