[OK] We use cookies to personalise content and adverts. We also share information about your use of our site with our advertising partners who may combine it with other information you’ve provided to them or they’ve collected from your use of their services. You also agree to our terms and conditions (T&C).

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

Answer: 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.

Back to the puzzles...

Our Favourite Illusions

 Shadow Illusion What Am I? Hidden Faces Impossible Waterfall? Same Eyes? Impossible Prongs?
 Duck Or Rabbit? Spinning Dancer Who Turned To? Blind Spot The Butterfly Parallel Cafe Wall Lines?