the answer is 2 and 2.
why? let me explain.
The product is 2X2=4 and that would make the sum 2+2=4
There is nothing in this word problem that says each number has to be individual and clearly the sum and product of these equate to the same answer. Therefore, the person with the sum and the person of the product would end up with the same answers. Look at how it is written and you'll see that 2 and 2 is the answer.
a man comes up with two numbers between 1 and 99 (meaning not 1 or 99 but from 2 to 98). The sum of these two numbers is under 99. He tells one person the sum of these numbers and another person the product of these numbers. The person with the product comes up to the person with the sum and says "i don't know the two numbers". The person with the sum replies with "i know that you don't know the two numbers". Immediately, the man with the product says "now I know the two numbers" and the man with the sum says "now I know the two numbers too". What are the two numbers? There is no word play involved.. it is a real problem with a real answer. Feel free to find the answer any way possible.
