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MathNet 2026 — Part 09 Question 151

Math Olympiad Vault · MathNet 2026 — Part 09

Question 151

The integers from $1$ to $16$ are arranged in a $4 \times 4$ array so that each row, column and diagonal adds up to the same number.


a. Prove that this number is $34$.


b. Prove that the four corners also add up to $34$.