49.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:
A. 22
B. 23
C. 24
D. 26
Answer:
Option : D
Let the number of hens be x and the number of cows be y..
Then, x + y = 48 .... (i)
and 2x + 4y = 140 ⇒ x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
∴ The required answer = 26.