Homework Help: Math

Posted by Samantha on Wednesday, July 11, 2012 at 4:20am.

The average (arithmetic mean) and median of the five numbers a,a,b,c, and c are 20 and 30, respectively. If a < b < c, what is the value of a + c?

Math - Reiny, Wednesday, July 11, 2012 at 7:23am
5 numbers: a, a, b, c, c

mean = 20
--> (2a + b + 2c)/5 = 20
2a + b + 2c = 100

median = 30
---> b = 30

so we have
2a + 30 + 2c = 100
2a + 2c = 70
a+c=35

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