⟩ A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?
Assume ,
n=Number of cats and
m=Number of mice per cat
Given that,
n*m=999919 and m>n
Solution,
n*m=(1000000-81)=1002-92=(100+9)*(100-9)=109*91=109*13*7
Finally , n*m=109*13*7
The following possibilities are rules out because m>n
Number of Mice per cat (m)
Number of cats(n)
91
109
7
109*13
13
109*7
1
109*7*13
109*13*7
1
So n and m can take the following values (possibly)
Number of Mice per cat (m)
Number of cats(n)
109
91
109*13
7
109*7
13
I think any of the above 3 could be the answer.
Let me know if you get to know any other solution!!!
