When a man was asked how many hens and buffaloes he had, he said that his animals had 120 eyes and 180 legs. How many hens did he have?
A
15
B
60
C
30
D
None of these
Correct Option:
C
Explanation
Let the numbers of hens and buffaloes be h and b, respectively. Since every animal has two eyes, 120 eyes means h + b = 60. Their legs give 2h + 4b = 180, or h + 2b = 90. Subtracting the first equation gives b = 30, so h = 30.
