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30 December, 05:33

When the smaller of two consecutive integers is added to four times the larger the result is 79. What is the product of the two integers?

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  1. 30 December, 09:10
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    So, let's define what "two consecutive integers are": 4 and 5, 5 and 6, 6 and 7 ...

    This would be written as "x" and "x+1".

    So:

    x + 4 * (x+1) = 79

    x + 4x + 4 = 79

    5x = 79 - 4

    5x = 75

    x = 75/5

    x = 15

    The product:

    15 * (15+1) = 15 * 16 = 240
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