Question: In a farm, there are cows and hens. If heads are counted there are 180, if legs are counted there are 420. The number of cows in the farm is
Options:
A) 150
B) 30
C) 130
D) 50
Show Answer
Answer:
Correct Answer: B
Solution:
- Let the number of cows and hens in the farm be x and y, respectively.
Then, $ x+y=180 $
(i)
and $ 4x+2y=420 $
$ \Rightarrow $ $ 2x+y=210 $
(ii)
On subtracting Eq. (i) from Eq. (ii), we get
$ x=30 $
Hence, there are 30 cows in the farm.