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  • X and Y are two different integers, greater than 1, with sum less than or equal to 100. S and P are two mathematicians; S knows the sum X+Y, P knows the product X*Y, and both are perfect logicians. Both S and P know the information in these two sentences. The following conversation occurs:



    S says "P does not know X and Y."

    P says "Now I know X and Y."

    S says "Now I also know X and Y!"



    What are X and Y? 


    Explanation :
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