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MathNet 2001 — Part 01 Question 86

Math Olympiad Vault · MathNet 2001 — Part 01

Question 86

Tina wrote down one natural number on five slips of paper, but she did not want to reveal which number she wrote down. The shrewd Žan convinced her to tell him all the sums of two numbers. He learned that the sums were 17, 20, 28, $14, 42, 36, 28, 39, 25$ and 31. What numbers did Tina write down?