Question

The difference of the squares of two positive consecutive even integers is 84. Find the integers.

Answer 1

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

$(x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20$