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1.
Ina zoo , each pigeon has 2 legs, and each rabbit has 4 legs. The head count of the two species together is 12 , and the leg count is 32. How many pigeons and how main rabbits are there in the zoo ?
- A. 6 & 3
- B. 6 & 3
- C. 6 & 3
- D. 6 & 3
Answer: Option C
Explanation:
A/Q,
x + y = 12
or, 2x + 2y = 24 ....................... (1)
2x + 4y = 32 ............................ (2)
(2) - (1) we get,
2y = 8
or, y = 4 ......(3)
Now, from (1) and (3), we get,
x + 4 = 12
or, x = 12 - 4
or, x = 8
x + y = 12
or, 2x + 2y = 24 ....................... (1)
2x + 4y = 32 ............................ (2)
(2) - (1) we get,
2y = 8
or, y = 4 ......(3)
Now, from (1) and (3), we get,
x + 4 = 12
or, x = 12 - 4
or, x = 8
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