Henry Ernest Dudeney/Modern Puzzles/89 - The Seventeen Horses

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Modern Puzzles by Henry Ernest Dudeney: $89$

The Seventeen Horses
"I suppose you all know this old puzzle," said Jeffries.
"A farmer left seventeen horses to be divided among his three sons in the following proportions:
To the eldest, one-half;
to the second, one-third;
and to the youngest, one-ninth.
How should they be divided?
"Yes; I think we all know that," said Robinson, "but it can't be done.
The answer always given is a fallacy."
(Considerable pointless argument ensues.)
... The terms of the will can be exactly carried out, without any mutilation of a horse.
... How should the horses be divided in strict accordance with the directions?


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