# The sum of two numbers is 8 and the sum of their squares is 32. What is the smaller number?

##### 2 Answers

The smaller number is

(The other number is therefore

#### Explanation:

We could use

If two numbers add up to 8, and we let one of them be

The sum of their squares is

Setting factor equal to

Check:

Smallest number is

#### Explanation:

Let

We are told that:

(A) in (B):

Hence the smallest

Hence the two numbers are 3 and 5, where 3 is the smallest.