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For Geeks & Brainiacs #37- 22 Coins -

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Puzzle Image Before you are 22 coins, 2 of which are fake. The 2 fake coins have the same weight, but may be heavier or lighter than the genuine coins. The genuine coins all have the same weight too. There is a balance scale with a weighing pan on each side. At most, how many weighings are required to split the coins into 2 groups of equal weight? Note that you are not required to identify the 2 fake coins.
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?
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