2009 AIME I Problems/Problem 1

Revision as of 19:03, 19 March 2009 by Kubluck (talk | contribs)

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.