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what are two whole numbers whose product is 1224 and whose sum is 70

  • math -

    Unless I am mistaken, the two numbers you are looking for are 36 and 34.

    34 x 36 = 1224
    34 + 36 = 70

  • math -

    Let x = first number
    Let y = second number
    x * y = 1224
    x + y = 70

    Express y in terms of x to eliminate 1 variable:
    y=1224/x
    The second equation can be written as
    x + (1224/x) = 70
    Multiply both sides by x
    x^2 + 1224 = 70x
    subtrace 70x from both sides
    x^2 - 70x + 1224 = 0
    Factor or solve the quadratic.

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