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NIELIT 2017 DEC Scientist B - Section A-57

In a big farm in Wisconsin, there are only hens and cows. When the owner counted the heads of the,stock in the farm, the number summed up to $200$, while counting the number of legs, the number summed up to $540$. How many more hens were there in the farm ? Assume each cow had $4$ legs and each hen had $2$ legs.

  1. $70$
  2. $120$
  3. $60$
  4. $130$
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Option C. 60

Let number of hens = H

and number of cows = C

1H + 1C = 200  ….(1)

and 2H + 4C = 540  ….(2)

by solving the above equations, H = 130 and C = 70

Number of more hens = 130 – 70 = 60.

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