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2010 Math Prize For Girls Problems
4
4
Part of
2010 Math Prize For Girls Problems
Problems
(1)
Math Prize 2010 Problem 4
Source:
11/14/2010
Consider the sequence of six real numbers 60, 10, 100, 150, 30, and
x
x
x
. The average (arithmetic mean) of this sequence is equal to the median of the sequence. What is the sum of all the possible values of
x
x
x
? (The median of a sequence of six real numbers is the average of the two middle numbers after all the numbers have been arranged in increasing order.)