+\left\{\begin{array}{ccc}x+y=10\\x+z=20\\y+z=24\end{array}\right\ \ \ \ \ add\ both\ sides\\----------\\2x+2y+2x=54\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x+y+z=27
The value of x + y + z is 27, derived from adding the provided equations together. Upon verification, the individual values of x, y, and z are consistent with the original equations. Therefore, the solution is accurate and complete.
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