# X, Y and Z

Algebra Level 4

$\begin{eqnarray} x+\left[ y \right] +\left\{ z \right\} &=& 4.3\\ y+\left[ z \right] +\left\{ x \right\} &=& 5.5\\ z+\left[ x \right] +\left\{ y \right\} &=& 6.4\\ \end{eqnarray}$

Given that $$x,y,z$$ satisfy the equations above.

What is the value of $${ \left( \frac { 20xy }{ z } \right) }^{ 2 }$$?

Details and Assumptions

$$\left [ A \right ]$$ denote the greatest integer function of $$A$$

$$\{ A \}$$ deonte the fractional part of $$A$$

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