Mathematics MCQs Maths MCQs
Q 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 A. 22
  • B B. 23
  • C C. 24
  • D D. 26
Comments 1
K
Khawar Khan
The correct option is A 22
Let no.of hens =x
cows =y
No.of hen heads =x
No of cow heads =y
⇒x+y=48−(1)
No. of hen feet =2x
No. of cow feet =4y
2x+4y =140
x+2y =70 -(2)
x+y=48 -(1)
x+2y=70 -(2)
(2) -(1)
y =70 -48
y=22
x+y=48
⇒x+22=48
⇒x=26
⇒ No.of hens =26
No. of cows =22
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