At State University, the average (arithmetic mean) salary of philosophy department professors is $56,000 and the average annual salary of business department professors is $74,000. If at State University there are two departments, what is the average annual salary at State University?
(1)  The two departments have a total of 42 professors.
(2)  There are twice as many professors in the philosophy department as in the business department.

 (A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
 (B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
 (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
 (D) EACH statement ALONE is sufficient.
 (E) Statements (1) and (2) TOGETHER are NOT sufficient.
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