in a group of cows and cocks. The number of legs is 14 more than twice of their number of heads . find the total number of cows and cocks.
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Answer:
Let there be x cows and y hens A cow has 4 legs and a hen has 2 legs
⇒4x+2y=2(x+y)+14
⇒4x−2x+2y−2y=14
⇒2x=14
⇒x=7
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Step-by-step explanation:
Let no. of cosws =x & no. of chickens =y
∴ total no. of heads =x+y
& Total no. of legs =4×xf2×y
=4x+2y
Now, given that no. of legs is 14 more than twice no of heads.
∴2(x+y)+14=4x+2y
∴2x+2y+14=4x+2y −(1)
∴14=2x
∴x=7⇒ No. of cows.
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