Posted by **fay1985** on Wednesday, December 17, 2008 at 12:21pm.

A farmer died and left 17 cows to be divided among three

workers. The first worker was to receive of the cows, the second worker was to

receive of the cows, and the third worker was to receive of the cows. The

executor of the farmer’s estate realized that 17 cows could not be divided into

halves, thirds, or ninths and so added a neighbor’s cow to the farmer’s. With 18

cows, the executor gave 9 cows to the first worker, 6 cows to the second worker,

and 2 cows to the third worker. This accounted for the 17 cows, so the executor

returned the borrowed cow to the neighbor. Explain why this works.

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