Find the SP.

Level pending

Two perfect logicians, S and P, are told that integers x and y have been chosen such that 1 < x < y and x+y < 100. S is given the value x+y and P is given the value xy. They then have the following conversation.

P:  I cannot determine the two numbers.
S:  I knew that.
P:  Now I can determine them.
S:  So can I.

Given that the above statements are true, what is the value of x ?


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