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A Man has Some Hens and Cows. If the Number of Heads be 48 and the Number of Feet Equals 140, then the Number of Hens?

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Explanation

  • A man has some hens and cows.
  • The number of heads be 48.
  • The number of feet equals 140.

Let suppose “h” shows hen and “c” cow. As number of heads are 48 (given).

h + c = 48 ________ (i)

Each hen has 2 legs and a cows possesses 4 legs and total feet are 140 (given).

2h + 4c = 140 ________ (ii)

Through these equations we can easily figure out number of hens.

To Find

Hens = ?

Solution

Let suppose

hen = h

cow = c

Total legs = 2h + 4c

Total heads = h + c

According to given condition;

h + c = 48 ________ (i)

2h + 4c = 140

h + 2c = 70 ________ (ii)

Now; subtracting equation (i) from (ii)

h + 2c – h – c = 70 – 48

c = 22 put in equation (i)

h + 22 = 48

h = 48 – 22

h = 26 answer

Conclusion

A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be 26.

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