Eve said to me that she had in mind an even three-figure number that was divisible by 3.
She also told me that she had spelled out the number in words and that she had counted the number of letters used.
Knowing the number of letters would enable me to work out her number, she said.

Oddy said to me that he had in mind an odd three-figure number divisible by 3.
He told me that he, too, had written the number in words and that he had counted the number of letters used. He said that knowing the number of letters would again enable me to work out his number.

Given that their numbers had no digit in common - find their numbers.

Source: Enigma/New Scientist

(In reply to re: Observation by Ady TZIDON)

On the other hand - since Charlie showed there are four even 3-digit numbers, each divisible by three, that also are the only such numbers that have unique number-of-letters when spelled out, and there is only 1 such odd number, that last statement lets one find the puzzle answer without knowing the exact number-of-letters of either number!

I am guessing that this was the intent of the original problem.  So it shows that while my hypothesis was correct, if I would have tested it, there was further depth to the problem!

Nice!

Edited on November 24, 2013, 12:36 am

Posted by Kenny M on 2013-11-24 00:34:51