SOLUTION: If the largest number 50 is removed from a set of 10 numbers, the mean is reduced by 4. What is the mean of the original set of numbers?

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Question 1103850: If the largest number 50 is removed from a set of 10 numbers, the mean is reduced by 4. What is the mean of the original set of numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let Z be the sum of the other 9 numbers.
The average with 50 would be,
%28Z%2B50%29%2F10
The average without 50 would be,
Z%2F9
The difference would be,
%28Z%2B50%29%2F10-Z%2F9=4
9%28Z%2B50%29-10Z=360
9Z%2B450-10Z=360
-Z=-90
Z=90
So then the mean is,
Z%2F9=90%2F9
Z%2F9=10