perplexus.info :: Numbers : Nod to fife and food

Nod to fife and food (Posted on 2012-06-26)

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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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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