Brilli has picked 2 integers \(x\) and \(y\) such that \(1 < x < y\) and \(x+y<100\). He gives the sum to Brian and the product to Brina. The following conversation takes place between them.

Brina: I cannot determine the numbers.

Brian: I know that.

Brina: I can determine the numbers now.

Brian: So can I.

Find the sum of the two numbers.

You may assume that Brian and Brina are perfectly logical.

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