There are cats got together and decided to kill the mice of 999964. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?  Choose the correct choice from the following
A) 941,1009  B) 991,1001  C) 991,1009  D) 791,1009  E) 994,1006
999964 can be written as 1000000 â€“ 36   = 10002 â€“ 62 ie of the form a2-b2=(a+b)(a-b)   =(1000+6)*(1000-6)   = (1006)*(994)   Given that number of cats is less than number if mice.   So number of cats is 994 and number of mice were 1006   Answer 994,1006
<result>E</result>
There are cats got together and decided to kill the mice of 999964. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?