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11 February, 09:20

The difference between two positive integers is 4 and the difference between their reciprocal is 1/24, find the 2 integers.

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Answers (2)
  1. 11 February, 10:08
    0
    X - y = 4

    1/y - 1/x = 1/24

    x = y + 4

    1/y - 1 / (y + 4) = 1/24

    (y + 4) / y - 1 = (y + 4) / 24

    y/y + 4/y - 1 = y/24 + 1/6

    4/y = y/24 + 1/6

    4 = y^2/24 + y/6

    96 = y^2 + 4y

    y^2 + 4y - 96 = 0

    (y + 12) (y - 8) = 0

    The numbers are 8 and 12
  2. 11 February, 11:48
    0
    Heres the answer

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    sike
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