A number of dogs get together and decided to kill between then 999919 cats. Each dog killed equal number of cats. How many dogs were there?
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999919 = 1000000 - 81 = 1000^2 - 9^2 = (1000+9)(1000-9) = 1009*991.
Since there were more dogs than there were cats, 991 cats killed 1009 dogs each.
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