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jmc

algebra senior

Problem

In the magic square shown, the sums of the numbers in each row, column, and diagonal are the same. Five of these numbers are represented by , , , , and . Find .

problem
Solution
Since appears in the first row, first column, and on diagonal, the sum of the remaining two numbers in each of these lines must be the same. Thus, so and . now 25,22, and 19 form a diagonal with a sum of 66, so we can find , , and . Hence .
Final answer
46