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Magic 7

Stage: 3 Short Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
See all short problems arranged by curriculum topic in the short problems collection

In this magic square, which uses all whole numbers from $7$ to $15$ inclusive, each of the rows, columns and the two main diagonals has the same total.

Which number replaces $n$ in the completed square?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.