# 9 years ago Jane was twice as old as Millie. The sum of their ages now is 35. How old is Millie now?

##### 2 Answers

Millie is

#### Explanation:

Let's translate the word problem into a system of equations. Let

Jane was twice as old as Millie

Adding their ages together will give

Our problem is in an easy situation for substitution. However, you could use elimination if you wanted to. I will stick with substitution. Solve for

Now plug it into the other equation:

Consolidate

Subtract

This becomes:

Divide both sides by

This becomes:

Now we can plug this back into one of the original equations. I will plug it into the second equation:

Subtract both sides by

This becomes:

So Millie is not

Millie is 14 years and 8 months old and

Jane is 20 years and 4 months old.

#### Explanation:

We are working with two people and 2 periods of time.

Jane and Millie were both

Millie is the younger of the two, let her present age be

**9 years ago****present age**

Millie:

Jane:

Jane's present age is

The

Millie is 14 years and 8 months old and

Jane is 20 years and 4 months old.