Example 7. A farmer has some hens and some goats. The total number of animals is 30 and the sum of their
legs is 84. How many goats does he have?
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As per fact that hens and goats each have one head and 2 legs and 4 legs respectively
let no of hen =x, no of goats =y
x+y=80
2x+4y=200
By solving
x=60,y=20.
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