SOLUTION: For a set of five positive integers, none of them greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, x, and x are the five integers, what is the value of x?

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Question 258739: For a set of five positive integers, none of them greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, x, and x are the five integers, what is the value of x?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The numbers are 31, 58, 98, x, and x.
The mode, M, is x, since it's repeated twice.
The mean, A, is
A=%2831%2B58%2B98%2B2x%29%2F5
Since A=(3/2)M, then
%28187%2B2x%29%2F5=%283%2F2%29x
2%28187%2B2x%29=15x
374%2B4x=15x
11x=374
x=34