[Deorum]

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One of my favorites from long ago, I hope I get it right. I have purposefully changed the usual wording to prevent easy googling:

A & B are integers greater than 1 and less than 100.

Mr. Add knows (A+B)
Mr. Multiply knows (A*B)

Mr. Add says to Mr. Multiply, "You don't know A and B."
Mr. Multiply says, "Now I do know A and B."
Mr. Add says, "Now I do too."

What are A & B?

~MagicMan

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I would really appreciate it if someone would please post the answer to this with the reasoning.