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jmc

prealgebra senior

Problem

Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the main diagonals are equal. What is the value of ?

problem
Solution
First, we can evaluate the sum across the first row, which gives . Evaluate the sum of the entries across the second row, . Now, since we have a magic square, these two sums are equal. So . Isolating , we obtain .

The square will look like:
Final answer
7