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.

(In reply to Two possibilities (spoiler?) by Steve Herman)

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

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