SOLUTION: 12. The average of x numbers is 15. If two of the numbers are each increased by y, the new average will be increased by how much?

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Question 677573: 12. The average of x numbers is 15. If two of the numbers are each increased by y, the new average will be increased by how much?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
12. The average of x numbers is 15.
If two of the numbers are each increased by y, the new average will be increased by how much?
:
We can write the original average as (for understanding purposes):
%2815x%29%2Fx = 15 average
:
We add y to two of the numbers and we have
%2815x%2B2y%29%2Fx = the new average
:
The difference between the two averages
%2815x%2B2y%29%2Fx - 15
we can write it as two fractions
%2815x%29%2Fx + %282y%29%2Fx - 15
Cancel x, 15 is eliminated
15 + %282y%29%2Fx - 15 = 2y%2Fx is the increase in average