Question

The age of a mother is three times the age of her son. If the difference between their

ages 20 years find their present ages.

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Answer 1

`Mother = 30\ years`

`Son = 10\ years`

Explanation:

Given

`M = Mother`

`S = Son`

From the first statement:

`M = 3S`

From the second:

`M - S = 20`

Required

Find M and S

We have:

`M = 3S` and

`M - S = 20`

Substitute
`M = 3S` in
`M - S = 20`

`3S -S =20`

`2S = 20`

Divide both sides by 2

`S = 10`

Substitute
`S = 10` in
`M = 3S`

`M = 3 * 10`

`M = 3 0`

Hence;

`Mother = 30\ years`

`Son = 10\ years`