Question 1087803
The solution is not unique.

Let the number be 10t + u,  where t = tens digit & u = units digit

| t - u | = 3   so if  t > u then t-u=3,   and if u > t then u-t = 3

Also, we are given that the number is diminished by 27 if the digits are reversed.  
That means
    10u+t = (10t+u)-27
     9u - 9t = -27
       u - t  = -3    —>   t  - u = +3   —>   t > u  (tens digit > unit digit)

—
Choose  u=6.   Then t=9.   —> that gives us <b> 96</b>   — Check: 96 - 27 = 69  (digits swapped if we subtract 27, so ok)
Other answers are      <b>85, 74, 63, 52, 41 </b>  and if we take the liberty of calling "03" a two digit number then       <b> 30 </b>  is also included.
—
 Spot check:
   41 - 27 = 14  
   52 - 27 = 25
    etc.