- Find two numbers knowing the product of their sum and product : 29400

Solution Details - Solve mentally !
Find these two numbers :

If we add 1 to the larger and substract 1 from the lower, the larger becomes twice the lower.

If we substract 1 from the larger and add one to the lower, they become equal.

Solution - A great classical. Find two numbers greater than 1.

I gave the sum to one of my math friends, Simon, and the product to Peter, saying that the problem has only one solution.

Peter : "I can't know these numbers"

Simon : "I knew that, and I can't either"

Peter : "Ah, now I can find these numbers"

Simon : "Ah then I also know them"

Which are these numbers ? Hint Solution Details