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?

A 12
B 10
C 8
D 6

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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