Problem:
In a magic trlangle, each of the six whole numbers is placed in one of the circles so that the sum, , of the three numbers on each side of the triangle is the same. The largest possible value for is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
If the sum is as large as possible. then the three largest numbers should be at the vertices so they each occur in two sums . Thus
One such triangle is indicated.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions