# Floors, Fractions & Numbers

Algebra Level 4

$\large{\begin{cases} 3x+\{ y\} +\lfloor z \rfloor=23.3 \\ \lfloor x \rfloor +2y+\{ z\} =9.5 \\ 2\{ x\} +3\lfloor y \rfloor +z=14.1 \end{cases}}$

Let $$x,y$$ and $$z$$ be real numbers, whose decimal part is formed by only one digit, satisfying the system of equations above. Find $$x+y+z$$.

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