Difference between revisions of "2005 AMC 10A Problems/Problem 6"
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Revision as of 21:44, 3 August 2006
Problem
The average (mean) of numbers is
, and the average of
other numbers is
. What is the average of all
numbers?
Solution
Since the average of the first numbers is
, their sum is
.
Since the average of other numbers is
, their sum is
.
So the sum of all numbers is
Therefore, the average of all numbers is