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MathNet 2019-part-05 — 184 problems (EN–VI) Question 156

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 156

There are 16 coins — eight heavy ones of weight $11$ g each, and eight light ones of weight $10$ g each, but it is unknown which coin is of which type. One of the coins is commemorative. Determine whether the commemorative coin is light or heavy, by performing three weighings on a two-pan scales. (K. Knop)