# Elena is now four times as old as Lizette. Five years ago, the sum of their ages was 45. How old is each now?

##### 2 Answers

Elenea is

#### Explanation:

Call the present ages of Elena and Lizette

Substitute the first into the second and rearrange:

so that

Lizette is

#### Explanation:

There are 2 people and 2 periods of time (past and present)

Choose a variable and write an expression for the age of each person for each period of time..

Lizette is younger, so let her age be

Elena is four times as old, so her age is

Lizette

Elena

The sum of their ages

Write an equation to show this:

So, Lizette is

Check:

It all checks out!.