The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Explanation

To solve the problem step by step, we will define the variables and set up the equations based on the information given in the question.

### Step 1: Define Variables
Let the larger number be \( x \). According to the problem, the smaller number can be expressed in terms of \( x \).