Two numbers total 83 and have a difference of 17 find the two numbers

Discussion in 'Calculator Requests' started by math_celebrity, Nov 1, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Let the numbers be x and y. Set up our givens:
    1. x + y = 83
    2. x - y = 17
    3. Rearrange (2), by adding y to each side, we have: x = 17 + y
    Substitute (3) into (1):
    (17 + y) + y = 83

    Group y terms
    2y + 17 = 83

    Using our equation solver, we get:
    y = 33

    Substitute that into (3)
    x = 17 + 33
    x = 50

    So our two numbers (x, y) = (33, 50)
     

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