SOLUTION: A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is subtracted from this number, the difference is 9.What is the number?

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Question 519522: A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is subtracted from this number, the difference is 9.What is the number?
I need it's steps and statements for how to do it?
The answer is 65!

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let the number be written as xy
x-ten's place
y units place
x+y=11.....................1
(10x+y)-(10y+x)=9
10x+y-10y-x=9
9x-9y=9
/9
x-y=1......................2
Add (1) & (2)
2x=12
x=6
y=5
the number is 65
m.ananth@hotmail.ca

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