An algebra problem by Kshetrapal Dashottar

Algebra Level pending

Find the sum of all triples \((x, y, z)\) of real numbers satisfying the following three equations (where [r] and {r}) denote that greater integer r  and r – [r] respectively)

\(x + [y] + \{z\} = 200.2\)
\(\{x\} + y + [z] = 200.1\)
\([x] + \{y\} + z = 200.0 \)

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