Difference between revisions of "1997 AIME Problems"
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== Problem 2 == | == Problem 2 == | ||
The nine horizontal and nine vertical lines on an <math>8\times8</math> checkeboard form <math>r</math> rectangles, of which <math>s</math> are squares. The number <math>s/r</math> can be written in the form <math>m/n,</math> where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m + n.</math> | The nine horizontal and nine vertical lines on an <math>8\times8</math> checkeboard form <math>r</math> rectangles, of which <math>s</math> are squares. The number <math>s/r</math> can be written in the form <math>m/n,</math> where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m + n.</math> | ||
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[[1997 AIME Problems/Problem 2|Solution]] | [[1997 AIME Problems/Problem 2|Solution]] | ||
Revision as of 11:18, 11 October 2007
Contents
Problem 1
How many of the integers between 1 and 1000, inclusive, can be expressed as the difference of the squares of two nonnegative integers?
Problem 2
The nine horizontal and nine vertical lines on an 
checkeboard form 
rectangles, of which 
are squares. The number 
can be written in the form 
where 
and 
are relatively prime positive integers. Find 
