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A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals In e…

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A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals In each flock. If these flocks are as large as possible,then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively
  • A15 and 228
  • B9 and 380
  • C45 and 76
  • D46 and 75
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Discussion 2

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CCommunity
option 3 is the right answer
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CCommunity
First of all we find the HCF of 945 and 2475.

HCF = 45

Maximum number of animals in each flock = 45

Required total number of flocks

= $\frac{945}{45}+\frac{2475}{45}$

$= 21+55 = 76$