Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 12"
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12. Let <math>k</math> be a positive integer with a first digit four such that after removing the first digit, you get another positive integer, <math>m</math>, that satisfies <math>14m+1=k</math>. Find the number of possible values of <math>m</math> between <math>0</math> and <math>10^{2007}</math>. | 12. Let <math>k</math> be a positive integer with a first digit four such that after removing the first digit, you get another positive integer, <math>m</math>, that satisfies <math>14m+1=k</math>. Find the number of possible values of <math>m</math> between <math>0</math> and <math>10^{2007}</math>. | ||
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Revision as of 15:58, 24 July 2006
12. Let 
be a positive integer with a first digit four such that after removing the first digit, you get another positive integer, 
, that satisfies 
. Find the number of possible values of between 
and 
.
