Assume two digit number is ab.
ATQ
a + b = 9 ...(i)
10 a + b - 10 b - a = 9
9a - 9b =9
a - b = 1...(ii)
Equation (i) + Equation (ii)
a + b + a -b = 9+1
2a = 10 => a =5
b = 4
Hence the original number is 54.
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