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

Options

A. 6
B. 12
C. 8
D. None of these

Answer

B

Explanation

Let the number of buffaloes = B and the number of ducks = D.
Then, number of legs = 4B + 2D
[`because` Buffalo = 4 legs & Duck = 2 legs]
Number of heads =B+D
According to the question
`4B + 2D = 2 (B + D) +24 `
or, `4B + 2D = 2B + 2D + 24 `
or, `4B - 2B = 24 `
or, `2B = 24 `
or, `B = 12`.
Therefore, Required number of Buffaloes = B = 12.