Art of Problem Solving

1997 AIME Problems/Problem 3: Difference between revisions

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== Problem ==
== Problem ==
Sarah intended to multiply a two-digit number and a three-digit number, but she left out the multiplication sign and simply placed the two-digit number to the left of the three-digit number, thereby forming a five-digit nmber.  This number is exactly nine times the product Sarah should have obtained.  What is the sum of the two-digit number and the three-digit number?


== Solution ==
== Solution ==

Revision as of 10:21, 11 October 2007

Problem

Sarah intended to multiply a two-digit number and a three-digit number, but she left out the multiplication sign and simply placed the two-digit number to the left of the three-digit number, thereby forming a five-digit nmber. This number is exactly nine times the product Sarah should have obtained. What is the sum of the two-digit number and the three-digit number?

Solution

See also