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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)

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Solution Food | Comment 1 of 5
N=9
O=2
D=5
F=1
I=8
E=3
R=6
NOD=925
FIFE=1813
FERN=1369
FOND=1295
FOOD=1225


  Posted by Math Man on 2012-06-26 14:01:17
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