2001 AIME I Problems/Problem 2
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
Let x be the mean of S. Let a be the number of elements in S. Then,
\[\FRAC{ax+1}{a+1}=x-13\] (Error compiling LaTeX. Unknown error_msg)
\[\FRAC{ax+2001}{a+1}=x+27\] (Error compiling LaTeX. Unknown error_msg)
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 | ||
