Âé¶¹´«Ã½

Enigma Number 1580

By Susan Denham

27 January 2010

If you knew what I knew…

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:

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…

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