# Difference between revisions of "2005 AMC 10A Problems/Problem 6"

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## Revision as of 11:29, 4 July 2013

## 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

## See Also

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.