Question 68
Let $x, y, z$ be positive integers such that
$$
\begin{aligned}
& (x+y)(y+z)=2016 \\
& (x+y)(z+x)=1080
\end{aligned}
$$
Determine the smallest possible value for $x+y+z$.
$$
\begin{aligned}
& (x+y)(y+z)=2016 \\
& (x+y)(z+x)=1080
\end{aligned}
$$
Determine the smallest possible value for $x+y+z$.