Question 787014
.


The problem formulated this way,  HAS  NO  solutions in integer  2-digit numbers.


The difference of any  2-digit number and its reversed number  CAN  NOT  be equal to  23.



So,  this problem is a  FAKE.




The solution presented by  @CubeyThePenguin,   is  WRONG.


For your safety,  IGNORE  it.


It contains  ELEMENTARY  ARITHMETIC  ERRORS.