I played a little logical game with my two highly intelligent godsons, Proddy and Addy.
I had in mind three different digits chosen from 1 to 8 and I whispered the product of the three to Proddy and the sum to Addy. I explained all this to them and our conversation went as follows:
Me: “Proddy, can you now work out what my three numbers are?”
Me: “Now do you think that Addy will be able to work out what my numbers are?”
Proddy: “No, he will not be able to work them out.”
Addy: “Now I know what the numbers are.”
What are they?
Credit due to Aunt Susan Denham.
(In reply to Two possibilities (spoiler?)
by Steve Herman)
I think the numbers are either (1,3,4) or (2,3,5). Neither!
YOU ARE WRONG.
1. This is the only hint I provide NOW.
2. IMHO it is an excellent puzzle, with one unique answer, achievable by logical reasoning.
3. Your low rating of a problem should be applied in the future only towards puzzles solved correctly by you.
I'LL PUBLISH THE ANSWER ONLY - A WEEK TODAY- & give you a chance to add the reasoning, and change your evaluation of rating.