SOLUTION: The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum.

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Question 381911: The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum.
Answer by richard1234(7193) About Me  (Show Source):
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We want to maximize (2x) + (2x + 2) where x is an integer. This expression is 4x + 2 which is 2 mod 4, so the sum is at most 178. Therefore if 4x + 2 = 178 then x = 44, and the integers are 88, 90.