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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?) | Comment 6 of 7 |
(In reply to Two possibilities (spoiler?) by Steve Herman)

I think the numbers are either (1,3,4) or (2,3,5).

NEITHER.

WILL POST THE CORRECT ANSWER A WEEK TODAY,-
then you might provide a coherent explanation and reassess the rating you gave .

 Posted by Ady TZIDON on 2017-12-10 04:34:05

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