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SAT Prep

Category - Math

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The product of two consecutive even integers is 168. Which of the following is their sum?

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
n²-1 = 168
n² = 168 + 1
n² = 169
n = √169
n = 13
(n-1) + (n + 1) = 2n = 2×13 = 26

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