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Thread: Solve for x+y+z

  1. #1
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    Post Solve for x+y+z

    if 36/11=3+1/(x+1/(y+1/z)) , where x,y,z are natural number


    Answer is 6 but i want steps ....
    Last edited by topsquark; Sep 13th 2019 at 10:48 AM.
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  2. #2
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    Re: Solve for x+y+z

    Show that

    $$\frac{3z}{y z+1}=\frac{3}{y+\frac{1}{z}}=11-3x$$

    therefore

    $yz+1$ must divide $3z$
    Thanks from topsquark
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