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Recovering the unknown triplet (Posted on 2017-11-03) Difficulty: 4 of 5
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 of the three to Addy. I explained all this to them and our conversation then went as follows:

I: “Proddy, can you now work out what my three numbers are?”
Proddy: “No.”
I: “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!”

If you can evaluate the triplet - you are as gifted as ADDY!

Source: Old Enigma puzzle; attributed to Susan Denham

No Solution Yet Submitted by Ady TZIDON    
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