Problem:
The sum of consecutive even integers is . What is the largest of these consecutive even integers?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The average of the even integers is . So consecutive even integers will be larger than and consecutive even integers will be smaller than . The sum . The largest of these numbers is .
The average of the even integers is . Since of the consecutive even integers are larger than , the largest is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions