Difference between revisions of "2001 AIME I Problems/Problem 8"
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== Problem == | == Problem == | ||
| + | Call a positive integer <math>N</math> a <math>\textit{7-10 double}</math> if the digits of the base-7 representation of <math>N</math> form a base-10 number that is twice <math>N</math>. For example, <math>51</math> is a 7-10 double because its base-7 representation is <math>102</math>. What is the largest 7-10 double? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=2001|n=I|num-b=7|num-a=9}} | |
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Revision as of 23:23, 19 November 2007
Problem
Call a positive integer 
a 
if the digits of the base-7 representation of form a base-10 number that is twice . For example, 
is a 7-10 double because its base-7 representation is 
. What is the largest 7-10 double?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2001 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
