SOLUTION: The number of the house of my twin brother is the number of my home written from the end to the beginning. The difference between the numbers of our houses ends in two. What are th

First, let's see if they can be 2-digit house numbers.

Suppose the house numbers are XY and YX, where X and Y are digits.

Suppose XY is the larger of the two.

Then X is larger than Y.

So when we subtract larger minus smaller,

  XY
 -YX
   2 

we have to borrow from the X of XY, since X is bigger than Y.
so to get the 2 we are subtracting a digit X from a number 10 
or larger to get the 2. So we're either subtracting 10-8=2 or
11-9=2, for there are no digits larger than 9. It can't be 
10-8, for that would make Y=0, making the first digit of the 
smaller house number be 0.  So the only pussibility to get the 
2 is for us to be subtracting 11-9=2, which means Y=1 and X=9.
So the larger house number is 91 and the smaller one is 19. 

  91
 -19
  72 

Edwin