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 10:18, 11 October 2007
Contents
[hide]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