## $$P, Q, R, S, T, U$$ are positive integers, such that $$\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.$$ Is $$P$$ odd?

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### $$P, Q, R, S, T, U$$ are positive integers, such that $$\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.$$ Is $$P$$ odd?

by M7MBA » Sun Sep 19, 2021 12:52 am

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$$P, Q, R, S, T, U$$ are positive integers, such that $$\dfrac{S}{P}+\dfrac{T}{Q}=\dfrac{U}{R}.$$ Is $$P$$ odd?

(1) $$Q$$ and $$R$$ are odd.
(2) $$S$$ is odd.