Mock AIME 3 Pre 2005 Problems/Problem 12
Determine the number of integers such that and is divisible by .
This problem needs a solution. If you have a solution for it, please help us out by.
We see a pattern when we look at the numbers that do fulfull this property. The first number is . Then . This follows a pattern. The first number being , and the rest being the previous . This sequence then repeats itself. We hence find that there are a total of or numbers that satisfy the inequality.