College Algebra

Find two consecutive numbers such that the difference of their reciprocals is 1/4 the reciprocal of the small number.

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  1. let the two numbers be x and x+1

    then 1/x - 1/(x+1) = 1/4(1/x)

    multiply by 4x(x+1)

    4(x+1) - 4x = x + 1

    x = 3

    So the two numbers are 3 and 4

    Check: 1/3 - 1/4 = 1/12
    1/4 of 1/3 = 1/12

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