Problem:
The arithmetic mean (average) of four numbers is . If the largest of these numbers is , then the mean of the remaining three numbers is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The sum of the four numbers is , so the sum of the remaining three numbers is . Thus the mean of these three numbers is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions