# Mavis is 5 years older than her brother. Five years ago she was 2 times older than her brother. How old is each now?

##### 2 Answers

Mavis is now 15 years old and his brother 10 years old.

#### Explanation:

let Mavis's brother age now is A ,

So Marvis age is A+5

5 years ago, Marvis brother's age was A-5, Marvis's age was 2 times his brother's, so Marvis' age was 2(A-5)

Five years ago, Marvis' age was 2(A-5), now 5 years have passed, his age is 2(A-5) +5 = A+5.

The brother is 10 years old, Mavis is 15 years old.

#### Explanation:

We are working with 2 people and 2 periods of time;

Mavis and her brother, and their ages now and 5 years ago.

Her brother is younger - let his age be

Mavis is 5 years older than her brother (ADD 5)

For both of them, their ages were

Write an expression for each person for each time.

The information we are given shows the relationship between their ages 5 years ago - shown in red.

At that time, she was TWICE as old as he was. Form an equation.

Do not multiply her age by 2!!

**2 x younger age = older age**

The brother is 10 years old, Mavis is 15 years old.

Let's check: