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28 October, 21:21

The number 2017 can be expressed as the difference of the squares of two consecutive whole numbers. What is the sum of these two numbers?

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  1. 28 October, 21:27
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    Let x be the first number

    X + 1 be the second number

    So

    (x+1) ^2 - x^2 = 2017

    X^2 + 2x + 1 - x^2 = 2017

    2x + 1 = 2017

    2x = 2017 - 1

    2x = 2016

    X = 1008

    X + 1 = 1009

    Sum = 1008 + 1009 = 2017
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