98534 – We Solve Problems

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In Conrad’s collection there are four royal gold five-pound coins. Conrad was told that some two of them were fake. Conrad wants to check $($ prove or disprove $)$ that among the coins there are exactly two fake ones. Will he be able to do this with the help of two weighings on weighing scales without weights? $($ Counterfeit coins are the same in weight, real ones are also the same in weight, but false ones are lighter than real ones. $)$

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