Buckazoid Arithmetic - Basics

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A certain country uses gold coins called buckazoids. The coins weigh the same as their denominations. A 1-buckazoid coin weigh 1 gram, a 2-buckazoid coin weighs 2 grams and so on.

Problem 1. Someone has given you two 1-buckazoid coins, one 2-bucazoid coin, and one 3-buckazoid coin. One of them is fake; it weighs too much. How can you find the fake coin by using only a pan balance? You have no other weighs except for these four coins.

Problem 2. How would you find the fake coin if all you knew was the wrong weight but didnít know whether it was too heavy or too light?

Posted: December 11, 2007
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