Relatable Reversal Of Digits

Algebra Level 2

\[\large \overline{\color{red}{A}\color{blue}{B}}=2\overline{\color{blue}{B}\color{red}{A}}-1\]

Let \(\overline{\color{red}{A}\color{blue}{B}} \) and \(\overline{\color{blue}{B}\color{red}{A}} \) be 2-digit integers that satisfy the equation above. Find \(\overline{\color{red}{A}\color{blue}{B}}\).

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