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.