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21,22,23,24,25

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The Algebra Solution Method

For any 5 consecutive numbers, starting with X, the four following are X+1, X+2, X+3, and X+4.

The equation becomes X + (X+1) + (X+2) + (X+3) + (X+4) = 115

So 5x + 10 = 115 and X =21

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The Arithmetic Mean Method

Any five consecutive numbers will have an average or mean equal to the middle number. Knowing that 5 times that number is 115,

5M = 115 and the central number M is 23.

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A polynomial of degree zero is a constant term

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Q: What five consecutive numbers added together have a sum of 115?
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