Question 30291
THe original number is 10x+y
x is the ten digit and y is the  one digit
Sum:
x+y=15
y=15-x (subsitution)



Digits reversed:
10y+x --. Now the ones is tens and the tens is ones:
10y+x=(10x+y)-27
10(15-x)+x=10x+15-x-27
150-9x=9x-12
-18x=-162
x=9


y=15-9
y=6


<font color = blue>Hence, the 2 digit number is 96. 9-->10 digit and 6-->one digit</font>.
Paul.