Difference between revisions of "2001 AIME I Problems/Problem 2"
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== Problem == | == Problem == | ||
| + | A finite set <math>\mathcal{S}</math> of distinct real numbers has the following properties: the mean of <math>\mathcal{S}\cup\{1\}</math> is <math>13</math> less than the mean of <math>\mathcal{S}</math>, and the mean of <math>\mathcal{S}\cup\{2001\}</math> is <math>27</math> more than the mean of <math>\mathcal{S}</math>. Find the mean of <math>\mathcal{S}</math>. | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
| − | {{AIME box|year=2001|num-b=1|num-a=3}} | + | == See Also == |
| + | {{AIME box|year=2001|n=I|num-b=1|num-a=3}} | ||
Revision as of 23:19, 19 November 2007
Problem
A finite set 
of distinct real numbers has the following properties: the mean of 
is 
less than the mean of , and the mean of 
is 
more than the mean of . Find the mean of .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2001 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
