Step-by-step explanation:
So, let the N=10a+b
N=10a+b,P(N)=ab,S(N)=a+b
10a+b=ab+a+b
9a-ab=0
a(9-b)=0
a=0 and 9-b=0, b=9. the number is 9. but 9 is not two-digit number. So there is no N which satisfied previous conditions.
