SOLUTION: A farmer has 2494 sheep and 2193 lamb. He farms them into flocks, keeping sheep and lamb separate and having the same number of animals in each flock. If these flock are as large a

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Question 327666: A farmer has 2494 sheep and 2193 lamb. He farms them into flocks, keeping sheep and lamb separate and having the same number of animals in each flock. If these flock are as large as possible, find:
1. the maximum number of animals in each flock and
2. total number of flocks required for this purpose.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


The greatest common divisor of 2494 and 2193 is 43

2494 = 43*58
2193 = 43*51

1. There are 43 in each flock.
2. There are 58 flocks of sheep and 51 flocks of lambs, for a total
   of 58+51 or 109 flocks in all.

Edwin