Find four consecutive odd numbers which add to 64

Discussion in 'Calculator Requests' started by math_celebrity, Feb 28, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Find four consecutive odd numbers which add to 64.

    Let the first number be x. The next three numbers are:
    x + 2
    x + 4
    x + 6

    Add them together to get 64:
    x + (x + 2) + (x + 4) + (x + 6) = 64

    Group like terms:
    4x + 12 = 64

    Using our equation calculator, we get:
    x = 13

    The next 3 odd numbers are:
    x + 2 = 13 + 2 = 15
    x + 4 = 13 + 4 = 17
    x + 6 = 13 + 6 = 19

    So the 4 consecutive odd numbers which add to 64 are:
    (13, 15, 17, 19)
     

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