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10 October, 07:06

One number is four times another number. The sum of their reciprocals is 1/4. What are the numbers?

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  1. 10 October, 10:28
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    If one number is x the other is 4x. I read the sum of their reciprocals as ¼=1/x+1 / (4x).

    Multiply through by 4x: x=4+1=5. So the numbers are 5 and 20.
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