If two consecutive integers sum to 55, what is the larger integer?

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Multiple Choice

If two consecutive integers sum to 55, what is the larger integer?

Explanation:
Two consecutive integers differ by 1, so if the smaller is n, the larger is n+1 and their sum is n + (n+1) = 2n + 1. Setting 2n + 1 equal to 55 gives 2n = 54, so n = 27. The larger integer is n + 1 = 28. Therefore, the larger integer is 28.

Two consecutive integers differ by 1, so if the smaller is n, the larger is n+1 and their sum is n + (n+1) = 2n + 1. Setting 2n + 1 equal to 55 gives 2n = 54, so n = 27. The larger integer is n + 1 = 28. Therefore, the larger integer is 28.

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