Problem:
The nine squares in the table shown are to be filled so that every row and every column contains each of the numbers . Then
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Only 's can complete the by square whose diagonal is given. If two entries in a row or column are known, the third is determined. Use this to complete the table:
Thus, .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions