If x, y, and z are positive numbers, what is the value of the average (arithmetic mean) of x and z?
(1) x-y=y-z
(2) $$x^{2}-y^{2}=z$$
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AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
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BStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
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CBOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
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DEACH statement ALONE is sufficient.
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EStatements (1) and (2) TOGETHER are NOT sufficient.