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In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes?

In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes? Correct Answer 12

Let the number of buffaloes be x and the number of ducks be y. Each buffalo has 1 head & 4 legs.Each duck has 1 head & 2 legs.So the number of heads =x+y and the number of legs=4x+2y.So, by the given condition,4x+2y=2(x+y)+24⇒4x−2x+2y−2y=24⇒2x=24⇒x=12

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