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Explanation
Let suppose “b” represents buffalo and “d” ducks. Each buffalo has 4 legs (4b) and each duck has 2 legs (2d). So in the group of buffaloes and ducks, total legs will be “4b + 2d” and total heads “b + d”. Now condition of the question says;
4b + 2d – 24 = 2(b + d)
Through this equation, we can easily figure out buffaloes.
To Find
Buffaloes = ?
Solution
Let suppose
Buffalo = b
Duck = d
Total legs = 4b + 2d
Total heads = b + d
According to given condition;
4b + 2d – 24 = 2 (b + d)
4b + 2d – 24 = 2b + 2d
4b – 24 = 2b
4b – 2b = 24
2b = 24
b = 24/2
b = 12 answer
Conclusion
In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. There will be 12 buffaloes in the group of ducks and buffaloes.
