Bunuel wrote:

Are x and y integers?

(1) The product xy is an integer.

(2) x + y is an integer.

(1) 2*2 YES, 2*1/2 NO

(2) 2+2 YES, 0.5 + 0.5 NO

(1)+(2) hmm... for statement 1 to be an integer we need either 2 integers or reciprocals, but I don't think that there are reciprocals that total an integer, that's why only integer pair satisfies both expressions. Please correct me if I'm wrong...

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