SOLUTION: The mean of ten positive numbers is 16. When another number is added the mean is 18. Find the other number

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Question 1114904: The mean of ten positive numbers is 16. When another number is added the mean is 18. Find the other number
Found 2 solutions by ankor@dixie-net.com, rothauserc:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The mean of ten positive numbers is 16.
When another number is added the mean is 18.
Find the other
:
let x = the other number
%28%2810%2816%29%2Bx%29%29%2F11 = 18
160 + x = 11(18)
x = 198 - 160
x = 38 is the other number

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the ten positive numbers = 10 * 16 = 160
:
let x be the unknown number which was added
:
(160 +x)/11 = 18/1
:
cross multiply the fractions
:
160 +x = 18 * 11 = 198
:
x = 198 -160 = 39
:
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the other number is 39
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