Buckazoid Arithmetic 1235 [solution]

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Step 1. Weigh the 3-buckazoid coin against the 1- and the 2-buckazoid coins. If they balance, then the 5-buckazoid coin is the fake (diagram A1). If they donít balance (diagram B1), then the 5-buckazoid coin is real, and do the following.

Step 2. Weigh the 5-buckazoid coin against the 2- and the 3-buckazoid coins. If they balance, then the 1-buckazoid coin is the fake (diagram B2). If they donít balance then either the 2- or the 3-buckazoid coin is fake, and we now know whether the fake is too heavy or too light (diagram B3).

Step 3. Keep in mind whether the fake is too heavy or too light and weigh the 3-buckazoid coin against the 1- and the 2-buckazoid coins again. This will tell you whether the 2-buckazoid coin or the 3-buckazoid coin is fake (actually, if we had the foresight to make a note when we did step 1, we wouldnít have had to repeat it). If the fake is too heavy then the heavier pan contains the fake (diagram B4), if the fake is too light, then the lighter pan contains the fake (diagram B5).

Posted: December 11, 2007
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