A pipe of length 100 inches is cut into three pieces of unequal lengths. What is the length of the longest piece? (1) The combined length of the two longer pieces is 80 inches. (2) The combined length of the two shorter pieces is 50 inches.   Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.   Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.   BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.   EACH statement ALONE is sufficient.   Statements (1) and (2) TOGETHER are NOT sufficient.   Hint Half-n-half Clue