ramsri_00

 Profile Answers by ramsri_00 

• Mar 22nd, 2010

 

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!!!