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27 February, 07:50

One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

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  1. 27 February, 09:39
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    So x=5y

    reciprocal of x=1/x then

    sum of reciprocals means 1/x+1/y=2/5

    subsitute x=5y for x in 1/x+1/y=2/5 and get

    1/5y+1/y=2/5

    multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

    1/5y+5/5y=2/5

    6/5y=2/5

    multiply both sides by 5y

    6=2y

    divide both sides by 2

    3=y

    put this into x=5y so

    x=5 (3)

    x=15

    y=3
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