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 Choose the correct choice from the following:
A) 22	B) 24	C) 26	D) 20	E) 18

Rationale: let number of hens = h number of cows = c number of heads = 48 ⇒ h + c = 48 ⋯ ( 1 ) number of feet = 140 ⇒ 2 h + 4 c = 140 ⇒ h + 2 c = 70 ⋯ ( 2 ) ( 2 ) − ( 1 ) gives 2 c − c = 70 − 48 ⇒ c = 22 substituting the value of c in ( 1 ) , we get h + 22 = 48 ⇒ h = 48 − 22 = 26 h + 22 = 48 ⇒ h = 48 − 22 = 26 i . e . , number of hens = 26 answer : c
Answer: C