Question 1159944
<pre>
N = the two-digit number = 10a + b    (1)

We are told  
 4a+4b = N             (2)
  and  
 10a+b + 27 = 10b + a  (3)  (27 added to the number results in reversal of digits)


(1) and (2) can be used to eliminate N:
   10a+b = 4a+4b

This simplfies to  6a-3b = 0
(3) simplifies to  9a-9b = -27

These last two equations can be solved easily for  a=3, b=6  ==> {{{highlight(N=36) }}}

Check:
3(4)+6(4) = 12+24 = 36  (ok)
36 + 27 = 63    (digits reversed, ok)