Answer :

Let, the unit’s digit = x


The ten’s digit = 12 – x


The number = 10(12 – x) + x = 120 – 9x


After reversing,


Unit’s digit = 12 – x


Ten’s digit = x


The number after reversing = 10x + 12 – x = 9x + 12


According to problem,


9x + 12 = 120 – 9x + 18


18x = 126


x = 7


The original number,


120 – 9 × 7


57


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