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MathNet 2008-part-02 — 165 problems (EN–VI) Question 163

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 163

Solve the system:
$$
\begin{cases}
x(y+z) = 35 \\
y(z+x) = 32 \\
z(x+y) = 27
\end{cases}
$$