SOLUTION: The average of the two numbers is 82 and their range(difference) is 6. Find the numbers.

Algebra ->  Average -> SOLUTION: The average of the two numbers is 82 and their range(difference) is 6. Find the numbers.      Log On


   

Question 912807: The average of the two numbers is 82 and their range(difference) is 6. Find the numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28A%2BB%29%2F2=82
A-B=6
From eq. 1,
A%2BB=164
Add this to eq. 2,
A%2BB%2BA-B=164%2B6
2A=170
A=85
Then,
85-B=6
B=79