A bit of math, but not much
@CookieCrumbs and her fruit inspired me to post a puzzle that I found kind of interesting. YMMV.
There are two integers between 1 and 20 inclusive. Peter knows their product. Susie knows their sum. They have the following conversation:
Peter: I don't know what the numbers are.
Susie: I don't know either.
Peter: Oh, now I know.
Susie: Now I know too.
What are the numbers?
UPDATE: Maybe it's not clear. let me try to clarify a bit.
They could be the same, or different -- that's not specified (and it's not important). Say, for example, the two numbers are 4 and 8. Peter would have been told the product is 32 (4*8). Susie would have been told the sum is 12 (4+8). Neither person knows either of the numbers at the beginning, just the product (or sum). They do not share any information other than what is stated in the conversation (they don't tell each other the product or sum that they know -- otherwise the puzzle is trivial).
Warning: It is a little bit of work to figure out.
There are two integers between 1 and 20 inclusive. Peter knows their product. Susie knows their sum. They have the following conversation:
Peter: I don't know what the numbers are.
Susie: I don't know either.
Peter: Oh, now I know.
Susie: Now I know too.
What are the numbers?
UPDATE: Maybe it's not clear. let me try to clarify a bit.
They could be the same, or different -- that's not specified (and it's not important). Say, for example, the two numbers are 4 and 8. Peter would have been told the product is 32 (4*8). Susie would have been told the sum is 12 (4+8). Neither person knows either of the numbers at the beginning, just the product (or sum). They do not share any information other than what is stated in the conversation (they don't tell each other the product or sum that they know -- otherwise the puzzle is trivial).
Warning: It is a little bit of work to figure out.
61-69, M
