Solve the problem.
-The difference of the squares of two positive consecutive even integers is 124 . Find the integers.
A) 28,26
B) 32,34
C) 30,32
D) 30,28

Question

Quizplus · Accepted Answer

The difference of the squares of two consecutive even integers can be expressed as $ (x + 2)^2 - x^2 = 124 $. Simplifying, we get $ 4x + 4 = 124 $, solving for $ x $ gives $ x = 30 $, so the integers are 30 and 32.

Solve the Problem. -The Difference of the Squares of Two Positive Consecutive Even