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Nod to fife and food (Posted on 2012-06-26) Difficulty: 3 of 5
Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of alphametic relationships. None of the numbers can contain any leading zero.

The arithmetic mean of NOD and FIFE is FERN, and:

The geometric mean of NOD and FIFE is FOND, and:

The harmonic mean of NOD and FIFE is FOOD.

Note: For an extra challenge, solve this puzzle without using a computer program.

No Solution Yet Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Food | Comment 2 of 5 |
(In reply to Food by Math Man)

I found that only the first two means were needed to solve this. The harmonic mean then worked out using the only solution to those.
  Posted by Charlie on 2012-06-26 17:19:43

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