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MathNet 2016-part-04 — 184 problems (EN–VI) Question 74

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 74

Find all positive reals $x, y, z$ so that
$$
\begin{cases}
xyz = 6 \\
(x+1)(y+2)(z+3) = 48.
\end{cases}
$$