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in Linear Equations by (53.1k points)
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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 ?

(a) 6 

(b) 12 

(c) 8 

(d) 10

1 Answer

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by (49.2k points)
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Best answer

(b) 12

Let the number of buffaloes be b and 

the number of ducks be d. Then, 

Number of legs of buffaloes = 4 × b = 4b 

Number of legs of ducks = 2 × d = 2d 

Total number of heads = 2 (b + d) 

According to the question, 

4b + 2d = 2(b + d) + 24

\(\Rightarrow\) 4b + 2d = 2b + 2d + 24

\(\Rightarrow\) 2b = 24

\(\Rightarrow\) b = 12.

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