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algebra intermediate

Problem

In a magic square, the sum of the three entries in any row, column, or diagonal is the same value. The figure below shows four of the entries of a magic square. Find .
problem
Solution
Denote the remaining entries by as shown: One possible solution proceeds in three steps, as follows:

The leftmost column and up-right diagonal have the same sum, so which gives The down-right diagonal and the rightmost column have the same sum, so which gives Finally, the first row and second sum have the same sum, so which gives
Final answer
200