Difference between revisions of "2009 AIME I Problems/Problem 1"
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The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840. | The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840. | ||
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| + | == See also == | ||
| + | {{AIME box|year=2009|n=I|before=First Question|num-a=2}} | ||
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| + | [[Category:Intermediate Number Theory Problems]] | ||
Revision as of 19:36, 19 March 2009
Problem
Call a 
-digit number geometric if it has distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers.
Solution
The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840.
See also
| 2009 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by First Question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
