1996 AIME Problems/Problem 1
Contents
[hide]Problem
In a magic square, the sum of the three entries in any row, column, or diagonal is the same value. The figure shows four of the entries of a magic square. Find .
Solution
Let's make a table.
Solution 2
Use the table from above. Obviously . Hence . Similarly, .
Substitute that into the first to get , so , and so the value of is just
See also
1996 AIME (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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