The product of two consecutive positive even numbers is 528. What are the numbers?
A) 24 and 26
B) 22 and 24
C) 21 and 20
D) 22 and 23
E) 20 and 22

Question

The product of two consecutive positive even numbers is 528. What are the numbers? ​
A) 24 and 26
B) 22 and 24
C) 21 and 20
D) 22 and 23
E) 20 and 22

Quizplus · Accepted Answer

We can solve this problem with trial and error. Starting with the smallest even number, 2, we can test consecutive even numbers until we find two whose product is 528.

2 x 4 = 8 (too small)
4 x 6 = 24 (not consecutive)
6 x 8 = 48 (too small)
8 x 10 = 80 (too small)
10 x 12 = 120 (too small)
12 x 14 = 168 (too small)
14 x 16 = 224 (too small)
16 x 18 = 288 (too large)
14 x 16 = 224 (matches the criteria)

Therefore, the two consecutive even numbers whose product is 528 are 22 and 24.

The Product of Two Consecutive Positive Even Numbers Is 528