Problem:
The number is between and . The average of , and could be
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Since is between and , the average must lie between and . Only lies in this range.
The average of , and is clearly .
Since , a possible average is . Since the question has only one answer, it must be .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions