the difference of squared of two positive consecutive even integers is 76

Answer 1

fixing your post to what I think you mean:
The difference between the squares of two positive consecutive even integers is 76.

first integer --- x
next even integer --- x+2

(x+2)^2 - x^2 = 76
x^2 + 4x + 4 - x^2 = 76
4x = 72
x = 18

your numbers are 18 and 20

check:
20^2 - 18^2
= 400 - 324
= 72 , all looks good