# Difficult system of equations

Algebra Level 4

$\begin{array} { l l l l l l l l l } x & + & y & + & \sqrt{z} & = & 148 \\ x & + & \sqrt{y} & + & z & = & 82 \\ \sqrt{x} & + & y & + & z & = & 98 \\ \end{array}$

Find the value of $$x + y + z$$.

Note: $$x, y, z$$ are positive integers.

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