SOLUTION: The average of ten is 15. If one number is removed, the average becomes 14. What number is removed? Please use one variable only

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Question 823402: The average of ten is 15. If one number is removed, the average becomes 14. What number is removed? Please use one variable only
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
The average of ten is 15.

AVERAGE = SUM_OF_NUMBERS%2FNUMBER_OF_NUMBERS%29

    15 = SUM%2F10

Multiply both sides by 10

    150 = SUM

If one number is removed, the average becomes 14. What number is removed?
Let the number removed be x

Then the sum of the remaining 9 numbers = 150-x

AVERAGE = SUM_OF_NUMBERS%2FNUMBER_OF_NUMBERS%29

     14 = %28150-x%29%2F9

Multiply both sides by 9

    126 = 150-x

      x = 24

The number removed was 24

Edwin