Question

The present age of Sahil's mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.

Answer 1

Let Sahil’s present age be x years.

	Sahil	Mother	Sum
Present age	x	3x
Age 5 years later	x + 5	3x + 5	4x + 10

It is given that this sum is 66 years.

Therefore,    4x + 10 = 66.

This equation determines Sahil's present age which is x years.

We transpose 10 to RHS,

4x = 66 - 10

or 4x = 56

or `x = 56/4 = 14`.

Thus, Sahil's present age is 14 years, and his mother's age is 42 years.