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March 29, 2017

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Find 3 consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 5 times the third.

  • Pre-Algebra - ,

    6,7,8

  • Pre-Algebra - ,

    let the first be x-1
    let the second be x
    let the third be x+1

    direct translation from English to Math
    (math is a language)
    (x-1)(x+2 - x = 5(x+1) + 1
    x^2 - 1- x = 5x + 5 + 1
    x^2 - 6x -7 = 0
    (x-7)(x+1)
    x = 7 or x = -1, but x is to be positive

    so the first is 6
    the second is 7
    the third is 8

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