Difference between revisions of "2009 AIME I Problems/Problem 1"
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| + | == Problem == | ||
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Call a 3-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. | Call a 3-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. | ||
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| + | == Solution == | ||
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. | ||
Revision as of 20:10, 19 March 2009
Problem
Call a 3-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.
