Tell the numbers to find are \(\overline{ab}\)
\(\Rightarrow\left\{{}\begin{matrix}2b-a=1\\\overline{ab}-\overline{ba}=27\end{matrix}\right.\)
=> 10a + b - 10b - a = 27
=> 9a - 9b = 27
=> a-b = 3
=> a = b + 3
=> 2b - 1 = b+3
=> 2b - b = 3 + 1
=> b = 4
=> a = \(2\cdot4-1=7\)
So he number to find is 74