I came across this puzzle sometime back. There are two guys A and B. And there are two numbers x and y, which are between 2 and 9 (digits, 2 <= x <= y <= 9). A knows their sum, and B knows their product. And the dialogue between them goes as follows:
A: I don't know what the numbers are.
B: I don't know the numbers as well.
A: I still don't know what the numbers are.
B: Same, I don't know the numbers.
A: I still don't know the numbers.
B: I know the numbers now
What is the value of x + y?
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