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 One triplet of digits (Posted on 2017-12-01)
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?”
Proddy: “No.”
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.

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Two possibilities (spoiler?)- the 3rd may be correct | Comment 4 of 6 |
(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.

 Posted by Ady TZIDON on 2017-12-10 04:00:45

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