Represent the digits by "AB". The number=10A+B.
AB=8; 10A+B+18=10B+A, 9(B-A)=18, B-A=2.
B=8/A so 8/A-A=2, 8-A2=2A, A2+2A-8=(A+4)(A-2)=0.
Since the digits are positive integers, A=2 and B=8/A=8/2=4.
The number is 24, 24+18=42 which is the number reversed.