Henry Ernest Dudeney/Puzzles and Curious Problems/323 - Cats and Mice

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Puzzles and Curious Problems by Henry Ernest Dudeney: $323$

Cats and Mice
A number of cats (more than one) killed between them $999 \, 919$ mice, and every cat killed an equal number of mice (more than one).
Each cat killed more mice than there were cats.
How many cats were there?


Dudeney's original question was wordy to the extreme.


Click here for solution

Sources