If you've seen this before, or find a solution on the net, kindly refrain from posting it until honest attempts have failed..

Two numbers (x and y) between 2 and 100 are selected.. These numbers are unknown to the mathematicians.. The sum (x+y) is given to one mathematician, while the product (x*y) is given to the second mathematician..

The second mathematician looks at the product he was given and says to the other "Hmm, I have no idea what your sum could be.."

The first mathematician replies "Thats no news to me, I already knew you could not deduce the sum I was given.."

And to that the second mathematician replies "Ah ha, now I know what your sum is!"

And the first mathematician responds, "And likewise I have now deduced your product.."

What are the two numbers x and y?

Two numbers (x and y) between 2 and 100 are selected.. These numbers are unknown to the mathematicians.. The sum (x+y) is given to one mathematician, while the product (x*y) is given to the second mathematician..

The second mathematician looks at the product he was given and says to the other "Hmm, I have no idea what your sum could be.."

The first mathematician replies "Thats no news to me, I already knew you could not deduce the sum I was given.."

And to that the second mathematician replies "Ah ha, now I know what your sum is!"

And the first mathematician responds, "And likewise I have now deduced your product.."

What are the two numbers x and y?

Last edited: