Difference between revisions of "2024 AIME II Problems/Problem 2"
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A list of positive integers has the following properties: | A list of positive integers has the following properties: | ||
| − | + | <math>\bullet</math> The sum of the items in the list is <math>30</math>. | |
| − | + | <math>\bullet</math> The unique mode of the list is <math>9</math>. | |
| − | + | <math>\bullet</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. | Find the sum of the squares of all the items in the list. | ||
Revision as of 18:36, 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.
