SOLUTION: The average of the digit of a two digit number is 6 and the difference between the digits is also 6.find the number

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Question 393204: The average of the digit of a two digit number is 6 and the difference between the digits is also 6.find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let 10x + y = a two digit number
:
The average of the digits of a two digit number is 6
%28%28x%2By%29%29%2F2 = 6
x + y = 2(6)
x + y = 12
:
and the difference between the digits is also 6.
x - y = 6
:
Add to the 1st equation
x + y = 12
x - y = 6
------------adding eliminates y, find x
2x = 18
x = 9
then
9 - y = 6
y = 3
:
find the number: 93 is the number