SOLUTION: The average of 9 numbers is 43. When one of the numbers is subtracted the new mean is 47. What is the number

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Question 1006015: The average of 9 numbers is 43. When one of the numbers is subtracted the new mean is 47. What is the number
Answer by ikleyn(52831) About Me  (Show Source):
You can put this solution on YOUR website!
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I'd reformulate this problem as follows to avoid ambiguity:
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The average of 9 numbers is 43. When one of the numbers is highlight%28removed%29 the new mean is 47. What is the number?
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Solution


Since the average of 9 numbers is 43, their sum is 9*43 = 387.

Since the average of remaining 8 numbers is 47, their sum is 47*8 = 376.

Hence, the removed number is 387 - 376 = 11.