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Are they equal

Number Theory Level 2

If $x, y, z$ are positive inetgers satisfying the equation $x(x+y) \ = \ y(y+z) \ = \ z(z+x),$ is it definitely true that $x=y=z?$

Yes, it is definitely true No, it can be false

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Excel in math and science

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by Áron Bán-Szabó

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