Suppose that S is a finite set of positive integers. If the greatest integer in S is removed from S, then the average value (arithmetic mean) of the integers remaining is 32 . If the least integer is S is also removed, then the average value of the integers remaining is 35 . If the greatest integer is then returned to the set, the average value of the integers rises to 40 . The greatest integer in the original set S is 72 greater than the least integer in S. What is the average value of all the integers in the set S ?
Answer Choices
A. 36.2
B. 36.4
C. 36.6
D. 36.8
E. 37