# The ages of the three children in a family are as follows: The middle child is one year older than the youngest, while the oldest is three times as old as the youngest. If the sum of their ages is #21# years, what are their ages?

##### 1 Answer

Aug 7, 2017

#### Answer:

Their ages are

#### Explanation:

It is possible to use one variable to define the ages of all

Choose the age of the youngest child to be

It is easier to add and multiply than subtract and divide.

The youngest age is

The middle child is

The oldest child is

The sum of their ages is

Their ages are

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