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MathNet 2020 — Math Olympiad Vault — Part 02 Question 36

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02

Question 36

One writes distinct positive integers into the cells of a $3 \times 3$ table in such a way that, in each row and in each column, one number equals the sum of the other two numbers. Find the least possible total sum of the numbers written into the table.