Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 12"
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Problem
Determine the number of integers 
such that 
and 
is divisible by 
.
Solution
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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.
