Problem:
The larger of two consecutive odd integers is three times the smaller. What is their sum?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let the smaller of the integers be . Then the larger is . So , from which . Thus the two integers are 1 and 3 , and their sum is .
The problems on this page are the property of the MAA's American Mathematics Competitions