Practice Quiz

SAT Math

Category - Number and Operations

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The product of two consecutive even integers is 168. Which of the following is their sum?
  1. 22
  2. 24
  3. 26
  4. 28
  5. 30
Explanation
Answer: C - The sum of two consecutive integers whose sum is 168 is 26. Denote consecutive even integers with n-1 and n + 1.
(n-1)(n + 1) = 168
n^2-1 = 168
n^2 = 168 + 1
n^2 = 169
n = √169
n = 13
(n-1) + (n + 1) = 2n = 2×13 = 26
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