Art of Problem Solving
Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Mock AIME 1 2006-2007 Problems/Problem 12: Difference between revisions

← Older editNewer edit →
Altheman (talk | contribs)
44 edits
No edit summary
mNo edit summary
Line 1: Line 1:
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>.
==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 18:42, 22 August 2006

Problem

Let $k$ be a positive integer with a first digit four such that after removing the first digit, you get another positive integer, $m$, that satisfies $14m+1=k$. Find the number of possible values of $m$ between $0$ and $10^{2007}$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=Mock_AIME_1_2006-2007_Problems/Problem_12&oldid=9784"