Henry Ernest Dudeney/Modern Puzzles/80 - The Flocks of Sheep
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Modern Puzzles by Henry Ernest Dudeney: $80$
- The Flocks of Sheep
- Four brothers were comparing the number of sheep that they owned.
- It was found that Claude had ten more sheep than Dan.
- If Claude gave a quarter of his sheep to Ben,
- then Claude and Adam would together have the same number as Ben and Dan together.
- If, then, Adam gave one-third to Ben,
- and Ben gave a quarter of what he then held to Claude,
- who then passed on a fifth of his holding to Dan,
- and then Ben divided one-quarter of the number he then possessed equally among Adam, Claude and Dan,
- they would all have an equal number of sheep.
- How many sheep did each possess?
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $80$. -- The Flocks of Sheep
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $162$. The Flocks of Sheep