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To Shmoop or not to Shmoop. That is not this question. It's math.

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The sum of three consecutive integers is 111.

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What is the largest of the three numbers?

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Alright, first of all, what is this question even asking? Well, it wants us to find 3 integers that,

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when added together, total 111. But the key term here is CONSECUTIVE.

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Meaning that the numbers are all one apart...

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And we're only interested in the largest one.

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The best way to solve this is with a little algebra.

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We’ll represent the smallest of the three numbers with the variable s.

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The next number would be s + 1, and the largest number would be s + 2.

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All three numbers added together equal 111.

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And the equation then looks like: s + s + 1 + s + 2 equals 111.

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Add like terms....s plus s plus s equals 3s…and 1 plus 2 equals 3.

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So 3s + 3 equals 111. Subtract 3 from both sides to get 3s equals 108.

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Divide both sides by 3 to get s equals 36.

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If the smallest number, s, is 36, that means the largest number, s+2, is 38.

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And we're done.

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