Difference between revisions of "1984 AIME Problems/Problem 4"
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== Problem == | == Problem == | ||
| − | Let <math>S</math> be a list of positive integers - not necessarily distinct - in which the number <math>68</math> appears. The arithmetic mean of the numbers in <math>S</math> is <math>56</math>. However, if <math>68</math> is removed, the arithmetic mean of the numbers is <math>55</math>. What's the largest number that can appear in <math>S</math>? | + | Let <math>\displaystyle S</math> be a list of positive integers - not necessarily distinct - in which the number <math>\displaystyle 68</math> appears. The arithmetic mean of the numbers in <math>\displaystyle S</math> is <math>\displaystyle 56</math>. However, if <math>\displaystyle 68</math> is removed, the arithmetic mean of the numbers is <math>\displaystyle 55</math>. What's the largest number that can appear in <math>\displaystyle S</math>? |
== Solution == | == Solution == | ||
Revision as of 01:24, 21 January 2007
Problem
Let 
be a list of positive integers - not necessarily distinct - in which the number 
appears. The arithmetic mean of the numbers in is 
. However, if is removed, the arithmetic mean of the numbers is 
. What's the largest number that can appear in ?
Solution
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