There are two natural numbers whose sum is less than hundred and both of them are greater than one. Two friends Leena and Nadia knows the product and sum of the numbers respectively.
Both of them are exchanging the following statements:
Leena: I don’t know the numbers.
Nadia: "I knew you wouldn't be. I am not aware myself."
Leena: "Now I am sure I know the numbers!"
Nadia: "Now I am sure I know the numbers too!"
Can you find the two numbers?