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MathNet 2020 — Math Olympiad Vault — Part 02 Question 14

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

Question 14

Four boxes with masks and means of disinfection are transported to participants of a carnival. Weighing the boxes pairwise results in six quantities, four largest of which are $125$ kg, $120$ kg, $110$ kg and $101$ kg. Find all possibilities of what can be the weights of the four boxes.