There is a one person who have two numbers, he tells sum to the person A and product of those numbers to B.
Now there is this conversion between A and B.
A: I don't know what are the numbers.
B: I also don't know what are the numbers.
A: Now i know what are the numbers.
B: Now i also know what are the numbers.
Assuming A and B to be very wise and good in mathematics, What are those two numbers?