# One number is three more than the other number. When the square of the smaller number is subtracted from the square of the smaller number, #45# is obtained. What are the two numbers?

##### 3 Answers

Let the numbers be

If we rearrange the first équation, we get

#(x + (x + 3))(3) = 45#

#2x + 3 = 15#

#2x = 12#

#x = 6#

Hopefully this helps!

I got

#### Explanation:

let s call our numbers

and

from the second we get:

substituting the first equation

so that

The first number is 9, and the second number is 6.

#### Explanation:

Let

**Sum of the numbers:**

**Difference of the numbers:**

**Equation:**