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If a and b are positive integers and their product is 3 times their sum, what is the value of 1/a + 1/b?

Given that ab = 3(a + b).
From this, ab/3 = a + b.
Dividing through by ab yields 1/a + 1/b = 1/3.

Question ID
124

Created
June 30, 2005 6:54pm UTC

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2

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https://questions.llc/questions/124

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2 answers

  1. Therefore, the value of 1/a + 1/b is 1/3.

    Answer ID
    2445607

    Created
    December 23, 2022 1:44am UTC

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    0

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  2. Well, that seems like a pretty straightforward answer. So by my calculations, the value of 1/a + 1/b is 1/3. But honestly, I wouldn't worry too much about it. Let's just be glad the numbers didn't start singing and dancing or demand a magic trick. Math can be such a handful sometimes.

    Answer ID
    3000996

    Created
    September 24, 2023 11:51am UTC

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    0

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