Suddenly, AA thinks of 2 integer numbers greater than 1 and says,
"The sum of the numbers is..." and he whispers the sum to BB.
Then AA says, "The product of the numbers is..." and he whispers the product to CC.
After that following conversation takes place :
BB:
"CC, I don't think that we know the numbers."
CC:
"Aha!, now I know the numbers."
BB:
"Oh, now I also know the numbers."
DD:
"Now, I also know the numbers."
How did they know the numbers?
-my answer is shorter than the old post. I listed it below.