SOLUTION: The mean of five numbers is 6. If one of the five numbers is removed, the mean becomes 7. What is the value of the number that was removed?

Question 302992: The mean of five numbers is 6. If one of the five numbers is removed, the mean becomes 7. What is the value of the number that was removed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The mean of five numbers is 6.
If one of the five numbers is removed, the mean becomes 7.
What is the value of the number that was removed?
:
Let x = value of the 1st 4 numbers
Let y = value of the number to be removed
:
= 6
x + y = 5(6)
x + y = 30
then "one of the five numbers is removed, the mean becomes 7.
= 7
x = 4(7)
x = 28
:
Substitute 28 for x in the equation: x + y = 30
28 + y = 30
y = 20 - 28
y = 2, is the value of the number removed

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