If \(x,\) \(y,\) and \(z\) are integers, with \(x<y<z,\) what is the average (arithmetic mean) of \(x, y,\) and \(z?\)

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If \(x,\) \(y,\) and \(z\) are integers, with \(x<y<z,\) what is the average (arithmetic mean) of \(x, y,\) and \(z?\)

(1) \((x+y)z=5\)

(2) \(x+z<3\)

Answer: E

Source: Manhattan GMAT