Herr H. V. Hilprecht is Professor of Assyriology in the University of Pennsylvania. That university had despatched an expedition to explore the ruins of Babylon, and sketches of the objects discovered had been sent home. Among these were draw... Read more of The Assyrian Priest at Scary Stories.caInformational Site Network Informational
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search

The Fifteen Orchards


In the county of Devon, where the cider comes from, fifteen of the inhabitants of a village are imbued with an excellent spirit of friendly rivalry, and a few years ago they decided to settle by actual experiment a little difference of opinion as to the cultivation of apple trees. Some said they want plenty of light and air, while others stoutly maintained that they ought to be planted pretty closely, in order that they might get shade and protection from cold winds. So they agreed to plant a lot of young trees, a different number in each orchard, in order to compare results.

One man had a single tree in his field, another had two trees, another had three trees, another had four trees, another five, and so on, the last man having as many as fifteen trees in his little orchard. Last year a very curious result was found to have come about. Each of the fifteen individuals discovered that every tree in his own orchard bore exactly the same number of apples. But, what was stranger still, on comparing notes they found that the total gathered in every allotment was almost the same. In fact, if the man with eleven trees had given one apple to the man who had seven trees, and the man with fourteen trees had given three each to the men with nine and thirteen trees, they would all have had exactly the same.

Now, the puzzle is to discover how many apples each would have had (the same in every case) if that little distribution had been carried out. It is quite easy if you set to work in the right way.

Read Answer

Next: The Perplexed Plumber

Previous: Robinson Crusoe's Table

Add to Informational Site Network

Random Questions

The Table-top And Stools.
Various Dissection Puzzles
The Beanfeast Puzzle.
Money Puzzles
The Pierrot's Puzzle.
Money Puzzles
The Runaway Motor-car
Adventures of the Puzzle Club
A Calendar Puzzle.
Unclassified Problems.
The Wizard's Arithmetic
Buying Apples.
Money Puzzles
The Four Knights' Tours.
The Guarded Chessboard
The Forsaken King.
The Guarded Chessboard
The Tapiser's Puzzle
More Mixed Fractions.
Money Puzzles
The Cook's Puzzle
The Eight Sticks.
Patchwork Puzzles
The Mystery Of Ravensdene Park
Adventures of the Puzzle Club
Boys And Girls.
Moving Counter Problem