SOLUTION: The mean of a set of 10 numbers is 18. When you remove the smallest 3 of these numbers, the mean of the remaining numbers is 24. What is the sum of the smallest 3 numbers?

Algebra ->  Average -> SOLUTION: The mean of a set of 10 numbers is 18. When you remove the smallest 3 of these numbers, the mean of the remaining numbers is 24. What is the sum of the smallest 3 numbers?      Log On


   



Question 837760: The mean of a set of 10 numbers is 18. When you remove the smallest 3 of these numbers, the mean of the remaining numbers is 24. What is the sum of the smallest 3 numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The mean of a set of 10 numbers is 18.
When you remove the smallest 3 of these numbers, the mean of the remaining numbers is 24.
What is the sum of the smallest 3 numbers?
:
let x = sum of the 3 smallest numbers
The mean of the 7 numbers is 24, so we can replace them with
7(24) = 168
then
%28%28168%2Bx%29%29%2F10 = 18
multiply both sides by 10
168 + x = 180
x = 180 - 168
x = 12 the sum of the 3 smallest numbers