A puzzle about sum and product

[Martino]

[Camillo]

Non vedo il testo !

[Rigel]

@Camillo:

We pick two numbers \(a\) and \(b\), so that \(a\geq b\) and both numbers are within the range \([2,99]\). We give Mr.P the product \(a\cdot b\) and give Mr.S the sum \(a+b\).

The following dialog takes place:

Mr.P: I don't know the numbers
Mr.S: I knew you didn't know. I don't know either.
Mr.P: Now I know the numbers
Mr.S: Now I know them too

Can we find the numbers \(a\) and \(b\)?

[Camillo]

@ Rigel thanks