SOLUTION: The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?

Question 756492: The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?
Answer by RajM(5) (Show Source): You can put this solution on YOUR website!
Let me number be xy.
we can write it as 10x+y and after interchanging the number becomes yx which can be written as 10y+x.
(10x+y) - (10y+x) = 63
10x+y-10y-x = 63
9x-9y=63
9(x-y)=63
x-y = 7
Hence difference between digits is 7.
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