A man has some Hens and Cows. If the number of heads be 48 and number of feet equals be 140 , then the number of hens will be
A. 22 B. 23 C. 24 D. 26
Correct Answer: D
Explanation
Let \(Be\) of \(Hen\) and cow be \(H\) and C, Hen and cow have one head, therefore \(H + C =48 \ldots \ldots . \ldots(1)\)lso Hen has two feet while cow has four feet \(2 H +4 C =140 \ldots \ldots \ldots \ldots(2)\) \(2( H +2 C )=140\)ivide both sides by 2 \(H +2 C =70 \ldots \ldots\) (2) Subtract eqn (1) from (2) \(2 C - C =70-48\) \(C =22\) Put \(C =22\) into eqn \((1)\). \begin{aligned} &H+22=48 \\ &H=48-22=26 \end{aligned}