in a group of cows and hens ,the number of legs are 14 more than tiwce the number of head . the number of cows will be
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Let the number of cows be x and number of hens be y.
A cow has 4 legs and 1 head whereas a hen has 2 legs and 1 head.
Total number of legs of cows = 4x and Total number of legs of hens = 2y
Total number of heads = total number of cows ( because 1 cow has 1 head )= x
Total number of heads of hens = total number of hen ( 1 hen has 1 head ) = y
According to given case, the linear equation in 2 variables will be -
4x + 2y = 2( x+y) + 14
4x + 2y = 2x + 2y + 14
4x - 2x = 14
2x = 14
x =7
Therefore number of cows ( x ) = 7
premkumar27:
you are right
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