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In a group of ducks and cows, the total numbers of legs are 14 more than twice the number of heads. Find the total number of cows.

14
7
21
8
Explanation:

Let the number of ducks be d and number of cows be ā€™cā€™.
Then, total number of legs = 2d + 4c = 2(d + 2c)
Total number of heads = c + d.
Given that total numbers of legs are 14 more than twice the number of heads.
=> 2(d + 2c) = 14 + 2(c + d).
=> 2d + 4c = 14 + 2c + 2d.
=> 2c = 14
=> c = 7
i.e., total number of cows = 7.

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