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Aptitude · Q13

Simplification

Competitive Exams · Aptitude · question 13

Q13

A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

A.
22
B.
23
C.
24
D.
26
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Let the number of hens be x and the number of cows be y.
Then, x + y = 48 . . . . . (i)
and
2x + 4y = 140
⇒ x + 2y = 70 . . . . . (ii)
Solving (i) and (ii) we get:
x = 26, y = 22
∴ The required answer = 26