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forum.virtualchallengemeets.com • View topic - AIME I 2009 #1

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AIME I 2009 #1

American Mathematics Contest & American Invitational Mathematics Examination. See for more information
Note:USAMO/IMO-level questions need to go in the Olympiad section.
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AIME I 2009 #1

Postby stupidityismygam » Fri Mar 27, 2009 11:09 pm

I just realized I hadn't posted these, so now I will.

Call a 3-digit number geometric if it has 3 distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers.
my avatar is pretty awesome
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Re: AIME I 2009 #1

Postby Celsion » Sat Mar 28, 2009 3:01 pm

I'll go ahead and answer the easy one.

The largest geometric number would be 964. [unparseable or potentially dangerous latex formula]; [unparseable or potentially dangerous latex formula]. The smallest geometric number would be 124. [unparseable or potentially dangerous latex formula]; [unparseable or potentially dangerous latex formula]. So, [unparseable or potentially dangerous latex formula].
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