SOLUTION: The sum of the digit of a two digits number is 11. If the digit are interchanged, the number they form decreases by 9. Find the number

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Question 916238: The sum of the digit of a two digits number is 11. If the digit are interchanged, the number they form decreases by 9. Find the number
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
t = u = 11 0r t = 11-u
10u + t = 10t + u - 9
10u + (11-u) = 10(11-u) + u - 9
|Simplify
18u = 90
u = 5 and t = 6 11-5
Number 65
....
And...checking
56 = 65 - 9