Difference between revisions of "1986 AIME Problems/Problem 6"
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The pages of a book are numbered <math>1_{}^{}</math> through <math>n_{}^{}</math>. When the page numbers of the book were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of <math>1986_{}^{}</math>. What was the number of the page that was added twice? | The pages of a book are numbered <math>1_{}^{}</math> through <math>n_{}^{}</math>. When the page numbers of the book were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of <math>1986_{}^{}</math>. What was the number of the page that was added twice? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
Revision as of 18:55, 10 February 2007
Problem
The pages of a book are numbered 
through 
. When the page numbers of the book were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of 
. What was the number of the page that was added twice?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1986 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
