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IMSO 2006 Mathematics · Taiwan Second Round Short Answer Question 14

IMSO Maths · IMSO 2006 Mathematics · Taiwan Second Round Short Answer

Question 14

Tom travels in Kakania and the coins of Kakania are available in just three denominations, where each denomination of Kakania coin is no more than 10 c. Tom finds that it is possible to choose exactly three Kakanian coins to form the sums of 20 c, 23 c and 29 c. If Tom has exactly one coin for each kind of Kakanian coins, how many denominations does Tom have?