The digits of which two digit number are reversed when 27 is added to it.

Let the digits of the number we need to find be ab. So the
number is 10*a + b. The digits are reversed when 27 is added to
it.

We can use this to create the equation: 10*a + b + 27 =
a + 10*b

=> 9*a - 9*b =
-27

=> b - a = 3

So we
have b as 1, 2, 3, 4, 5 or 6 and a is 4, 5, 6, 7, 8 or
9

Therefore for all the numbers 14 , 25 , 36 , 47 , 58 and
69 the digits are reversed when 27 is
added.

The required numbers are 14 , 25 , 36
, 47 , 58 and 69