# Roliver is three times as old as Cerise. Three years ago, the sum of their ages was sixty-six. Find their present age?

##### 2 Answers

Cerise is currently 18 and Roliver is 54.

#### Explanation:

Let Cerise's current age be

If Roliver is currently three times her age, his current age is thus

So 3 years ago, Cerise must have been

Since we know that the sum of their ages 3 years ago was 66, we can form an equation:

Hence, Cerise's age is

Cerise's current age is 12

Roliver's current age is 36

#### Explanation:

Let Roliver's current age be

Let Cerise's current age be

Breaking the question down into its component parts

Roliver is

tree timeas as old as Cerise

Three years ago

The sum of their ages was

sixty six

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider

Add 3 to both sides

Consider

Add 6 to both sides

Using

Divide both sides by 6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Substitute for

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

check