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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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