SOLUTION: The mean of 5 numbers is 11. When a sixth number is 12. Find the sixth number.

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Question 890158: The mean of 5 numbers is 11. When a sixth number is 12. Find the sixth number.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28sum%28x%5Bi%5D%2C+i+=+1+%2C5%29%29%2F5+=+11 by the given
==>sum%28x%5Bi%5D%2C+i=1%2C5%29+=+55 after cross-multiplication
==>sum%28x%5Bi%5D%2C+i=1%2C5%29%2B+x%5B6%5D+=+55%2B+x%5B6%5D
==>%28sum%28x%5Bi%5D%2C+i=1%2C5%29%2B+x%5B6%5D%29%2F6+=+%2855%2B+x%5B6%5D%29%2F6+=+12 after dividing both sides by 6
==> 55+%2B+x%5B6%5D+=+72 after cross-multiplication.
Hence x%5B6%5D+=+17