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What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? I can't remember how to start this.

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  1. let the integers be a-1,a,a+1

    (a-1)a = 5(a+1)-5
    a = 6

    the numbers are 5,6,7
    check: 5*6 = 5*7-5

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