The sum of three consecutive integers is 42

Discussion in 'Calculator Requests' started by math_celebrity, Oct 20, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Let the 3 integers be x, y, and z.
    y = x + 1
    z = y + 1, or x + 2.

    Set up our equation:
    x + (x + 1) + (x + 2) = 42

    Group our variables and constants:
    (x + x + x) + (1 + 2) = 42
    3x + 3 = 42

    Subtract 3 from each side:
    3x = 39

    Divide each side of the equation by 3:
    x = 13
    So y = x + 1 = 14
    z = x + 2 = 15

    (x,y,z) = (13,14,15)
     

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