A Number Of Cats Got Together And Decided To Kill Between Them 999919

1.	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 ?
Answer» OBSERVING the num 999919 which is the total num of rats being EATEN, we can WRITE it as (1000000-81) = (1000^2-9^2) = (1000+9)(1000-9) = (1009)(991) So total num of rats killed =(1009)(991) And GIVEN that each cat kills more num of rats than the total num of cats Hence each cat kills 1009 num of rats And there are 991 num of cats Observing the num 999919 which is the total num of rats being eaten, we can write it as (1000000-81) = (1000^2-9^2) = (1000+9)(1000-9) = (1009)(991) So total num of rats killed =(1009)(991) And given that each cat kills more num of rats than the total num of cats Hence each cat kills 1009 num of rats And there are 991 num of cats

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 ?

Answer»

OBSERVING the num 999919 which is the total num of rats being EATEN, we can WRITE it as

(1000000-81) = (1000^2-9^2) = (1000+9)(1000-9) = (1009)(991)

So total num of rats killed =(1009)(991)

And GIVEN that each cat kills more num of rats than the total num of cats

Hence each cat kills 1009 num of rats

And there are 991 num of cats

Observing the num 999919 which is the total num of rats being eaten, we can write it as

(1000000-81) = (1000^2-9^2) = (1000+9)(1000-9) = (1009)(991)

So total num of rats killed =(1009)(991)

And given that each cat kills more num of rats than the total num of cats

Hence each cat kills 1009 num of rats

And there are 991 num of cats