There are cats got together and decided to kill the mice of 999975. 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?
Pick
A) 941,1009
B) 991,1001
C) 995,1005
D) 791,1009
E) 931,1009
999975 can be written as 1000000 â€“ 25   = 10002 â€“ 52 ie of the form a2-b2=(a+b)(a-b)   =(1000+5)*(1000-5)   = (1005)*(995)   Given that number of cats is less than number if mice.   So number of cats is 995 and number of mice were 1005   Answer 995,1005
<result>C</result>
There are cats got together and decided to kill the mice of 999975. 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?