Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 12"
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| − | + | ==Problem== | |
| + | 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>. | ||
| + | ==Solution== | ||
| + | {{solution}} | ||
| − | [[Mock AIME 1 2006-2007]] | + | ---- |
| + | |||
| + | *[[Mock AIME 1 2006-2007/Problem 11 | Previous Problem]] | ||
| + | |||
| + | *[[Mock AIME 1 2006-2007/Problem 13 | Next Problem]] | ||
| + | |||
| + | *[[Mock AIME 1 2006-2007]] | ||
Revision as of 19:42, 22 August 2006
Problem
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 
.
Solution
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