1 integer is 7 times another. If the product of the 2 integers is 448, then find the integers.

Discussion in 'Calculator Requests' started by math_celebrity, Aug 5, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    1 integer is 7 times another. If the product of the 2 integers is 448, then find the integers.

    Let the first integer be x and the second integer be y. We have the following two equations:
    1. x = 7y
    2. xy = 448
    Substitute (1) into (2), we have:
    (7y)y = 448
    7y^2 = 448

    Divide each side by 7
    y^2 = 64
    y = -8, 8

    We use 8, since 8*7 = 56, and 56*8 =448. So the answer is (x, y) = (8, 56)
     

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