Difference between revisions of "2009 AIME I Problems/Problem 1"

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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.
  
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The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840.

Revision as of 20:03, 19 March 2009

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.

The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840.