Question

A mother is 3 times as old as her son. After 15 years she will be twice as old as her son. what is the present age of mother?​

Answer 1

Given:

A mother is 3 times as old as her son

After 15 years she will be twice as old as her son

To find:

the present age of mother

Solving Question:

We are given the conditions of the age .Let 'x' be the age of son.

Therefore,

A mother is 3 times as old as her son

⇒ age of mother = 3x

After 15 years

Age of son = x + 15

Age of mother = 3x + 15

she will be twice as old as her son

⇒ 2(x + 15) = 3x +15

Solution:

2(x + 15) = 3x +15

or, 2x + 30 = 3x +15

or, 2x - 3x = 15 - 30

or, -x = -15

or, x = 15

Therefore, the age of son is 15 years.

The age of Mother = 3*15 =45