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?

• 999919 = 1000000 - 81 = 1000^2 - 9^2 = (1000+9)(1000-9) = 1009*991.
  Since there were more mice than there were cats, 991 cats killed 1009 mice each.
• 14 years agoHelpfull: Yes(140) No(3)
• 991*1009
  
  so 991 cats
  Each cat killed 1009 mice.
• 14 years agoHelpfull: Yes(7) No(10)
• 991 cats
• 14 years agoHelpfull: Yes(3) No(7)
• Thanks to Tijo jose
• 10 years agoHelpfull: Yes(1) No(0)
• How bro I didn't understand
• 7 years agoHelpfull: Yes(1) No(0)
• definately more than 999........
• 14 years agoHelpfull: Yes(0) No(10)
• 2
• 14 years agoHelpfull: Yes(0) No(16)
• the ans is 8 . x + x+6 + x+12 + x+18+x+24=100
• 14 years agoHelpfull: Yes(0) No(13)
• let x cat and 1 cat killes y rat
  xy=999919 and y>x
  solving these we get x
• 14 years agoHelpfull: Yes(0) No(16)
• Let number of cats = x
  999919/x - x > 0
  x
• 14 years agoHelpfull: Yes(0) No(10)
• No. of cats = x(say)
  Therefore, no. of mice killed by each cat = 999919/x (since, they killed equal no. of mice)
  Now, given that
  
  (999919/x) is greater than x, i.e
  
  999919/x > x, implies x*x
• 8 years agoHelpfull: Yes(0) No(0)