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

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Solution

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

The correct option is A 22Let no.of hens =xcows =yNo.of hen heads =xNo of cow heads =y⇒x+y=48−(1)No. of hen feet =2xNo. of cow feet =4y2x+4y =140x+2y =70 -(2)x+y=48 -(1)x+2y=70 -(2)(2) -(1)y =70 -48y=22x+y=48⇒x+22=48⇒x=26⇒ No.of hens =26No. of cows =22.

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.