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Many Coins

A numismatist decides to divide his coin collection between his children. The oldest 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?

May 22nd, 2012 | Category: Brain Riddle, Mathematical | Email This Riddle Email This Riddle

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2 guesses to Many Coins

  • Dude
    May 22nd, 2012 at 11:12 PM

    Correct, Anant.

    There are 980 coins in the collection.

    To check this we add:

    1÷2 + 1÷4 + 1÷5 + 49

    this works out as

    490 + 245 + 196 + 49 = 980, as required.

    To work the answer out from the question, we observe that:

    1÷2 + 1÷4 + 1÷5 = 19÷20

    and we know that there were 49 coins left, so 1÷20 of the collection is 49 coins.

    Which means that the entire collection is 20 x 49 = 980 coins.

    You’re today’s winner.