| There are some girls and buffalos at a place. If total number of heads is 15 and total number of legs is 46, then how many girls and how many buffalos are there? |
A) 8 girls and 7 buffalos
B) 9 girls and 6 buffalos
C) 7 girls and 8 buffalos
D) 6 girls and 9 buffalos
Correct Answer: C
Solution :
| Let number of girls be Rs. x. |
| and number of buffalos = y |
| According to the questions, |
| \[x+5=15\] ... (i) |
| Because girls and buffalos have one head. |
| and \[2x+4y=46\] ... (ii) |
| Because girls have two legs and buffalos have four legs. |
| Now, solving Eqs. (i) and (ii), we have |
| x = 7 and y = 8 |
| Hence, number of girls x = 7 |
| and number of buffalos y = 8 |
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