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Puzzle - Hint

A numismatist decides to divide his coin collection between his children.

The eldest gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the youngest gets the remaining 49 coins.

How many coins are in the collection?

 [Ref: ZXNW] © Kevin Stone

Hint: What do the fractions add to?

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