Question

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

Answer 1

Answer:

8 and 10

Step-by-step 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!