What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the

Discussion in 'Calculator Requests' started by math_celebrity, Aug 26, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the larger?

    Let x and y be consecutive integers, where y = x + 1

    We have 7x < 6y as our inequality.

    Substituting x, y = x + 1, we have:

    7x < 6(x + 1)
    7x < 6x + 6
    Subtracting x from each side, we have:
    x < 6, so y = 6 + 1 = 7

    (x, y) = (6, 7)
     

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