Question

Father's age is three times the sum of age of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.

Answer 1

Let the present age of father be x years and the present ages of his two children’s be y and z years.

The present age of father is three times the sum of the ages of the two children’s. Thus, we have

After 5 years, father’s age will beyears and the children’s age will beandyears. Thus using the given information, we have

So, we have two equations

Here x, y and z are unknowns. We have to find the value of x.

Substituting the value offrom the first equation in the second equation, we have

By using cross-multiplication, we have

Hence, the present age of father isyears.