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Counterfeit Coin Puzzle

Dr Tan's Math & Logic Problem 003 Counterfeit Coin Puzzle This is a logic problem. The easier variant is the Nine-coin problem. Nine coins are identical in weight except one, which is a counterfeit and is lighter than the others. How can one isolate the counterfeit coin with only two weighings on a two-pan balance? The harder variant is the Twelve-coin problem. Twelve coins are identical in weight except one, which is a counterfeit. It has a different weight but we do not know whether it is lighter or heavier than the others. How can one isolate the counterfeit coin and determine whether it is lighter or heavier with only three weighings on a two-pan balance? If you have succeeded in solving the nine-coin variant which is fairly easy, you can attempt the twelve-coin variant which is quite convoluted. If you like my videos on math and logic problems you can support my ongoing work through Patreon:   / stefen   Mathematics Online and In-Person Home Tuition by Dr Tan   / maths-home-tuition-by-dr-tan-1197399943737470   Titles 00* 000 Glass Half Full    • Glass Half Full   001 Truth Teller and Liar    • Truth Teller and Liar   002 Birthday Problem    • Birthday Problem   003 Counterfeit Coin Puzzle    • Counterfeit Coin Puzzle   004 Vietnamese Math Puzzle    • Vietnamese Math Puzzle   005 Cheryl's Birthday    • Cheryl's Birthday   006 Monty Hall Problem    • Monty Hall Problem   007 Handshake Logic Puzzle    • Handshake Logic Puzzle   008 Ages of Three Children    • Ages of Three Children   009 Four Knights Puzzle    • Four Knights Puzzle