Question

The difference of the squares of two positive consecutive even integers is 36

Answer 1

8 and 10

Explanation:

Let's call the two numbers x and (x+2). According to the problem, you can set up the following equation:

`(x+2)^2-x^2=36`

Factoring:

`x^2+4x+4-x^2=36\\4x+4=36\\4x=32\\x=8\\x+2=10`

Hope this helps!