Difference between revisions of "2024 AIME II Problems/Problem 2"
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| − | + | A list of positive integers has the following properties: | |
| + | |||
| + | - The sum of the items in the list is <math>30</math>. | ||
| + | -The unique mode of the list is <math>9</math>. | ||
| + | -The median of the list is a positive integer that does not appear in the list itself. | ||
| + | |||
| + | Find the sum of the squares of all the items in the list. | ||
Revision as of 19:35, 8 February 2024
A list of positive integers has the following properties:
- The sum of the items in the list is 
.
-The unique mode of the list is 
.
-The median of the list is a positive integer that does not appear in the list itself.
Find the sum of the squares of all the items in the list.
