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MathNet 2009-part-01 — 175 problems (EN–VI) Question 2

Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)

Question 2

Juan has 11 weights, all of different masses and all of integer masses. The sum of the masses of the 11 weights is 1810. With these weights one can obtain all integer masses from 1 to 1810.
Determine the possible values of the sixth weight, counting from the lightest to the heaviest.