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Archimedes' Cattle (Posted on 2004-02-17) Difficulty: 4 of 5
The sun god had a herd of cattle consisting of bulls and cows, one part of which was white, a second black, a third spotted, and a fourth brown.

Among the bulls, the number of white ones was one half plus one third the number of the black greater than the brown; the number of the black, one quarter plus one fifth the number of the spotted greater than the brown; the number of the spotted, one sixth and one seventh the number of the white greater than the brown.

Among the cows, the number of white ones was one third plus one quarter of the total black cattle; the number of the black, one quarter plus one fifth the total of the spotted cattle; the number of spotted, one fifth plus one sixth the total of the brown cattle; the number of the brown, one sixth plus one seventh the total of the white cattle.

What was the composition of the herd?

See The Solution Submitted by DJ    
Rating: 3.5000 (8 votes)

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Answer Comment 6 of 6 |

The required composition of the herd is as follows:

cattle type    number
black bulls   7460514
black cows    4893246
brown bulls   4149387
brown cows    5439213
spotted bulls 7358060
spotted cows  3515820
white bulls   10366482
white cows    7206360
 

  Posted by K Sengupta on 2008-11-16 00:10:42
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