Question

The difference of the squares of two consecutive even integers is 68. What are these numbers?

Answer 1

Answer:

16 and 18

Step-by-step explanation:

(n + 2)² - n² = 68

Expand

(n² + 4n + 4) - n² = 68

4n + 4 = 68

Subtract 4 from both sides

4n = 64

Divide both sides by 4

n = 16

n + 2 = 18

Answer 2

Answer:

x = 5

Step-by-step explanation:

(2x+2)² - (2x)² = 44

4x^2 + 8x + 4 -  4x^2 = 44

8x + 4 = 44

8x = 44 - 4

8x = 40

x = 40/8

x = 5