notthatsmart8026 notthatsmart8026

22-09-2017
Mathematics

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What 2 consecutive even integers have a sum of 217?

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BangtanAesthetics BangtanAesthetics

22-09-2017

Let the 1st number be "2x"
The next consecutive even number is "2x+2"
EQUATION:
2x+2x+2=217
4x+2=217
4x=215
x is not an integer.
WHY?
The sum of two even integers must be even; it cannot be 217.

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