Question

Answer and explanation please

Answer 1

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.