Next riddle in

Level 3/5

Sum and product

two different integers \(x\) and \(y\) satisfy \(2 \le x < y \le 99\). one mathematician is told the sum \(S=x+y\), and the other is told the product \(P=xy\). conversation: 1. Product: “I do not know what the numbers are.” 2. Sum: “I alrea…