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.

Submitted by K Sengupta

Rating: 4.6667 (3 votes)

Solution: (Hide)

N O D F I E R
9 2 5 1 8 3 6

NOD=925 FIFE=1813 FERN=1369 FOND=1295 FOOD=1225
For an explanation, refer to the solution submitted by brianjn in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Surprised	Charlie	2012-06-27 10:25:45
Surprised	brianjn	2012-06-27 03:52:11
answer	Dej Mar	2012-06-27 00:59:35
re: Food	Charlie	2012-06-26 17:19:43
Food	Math Man	2012-06-26 14:01:17

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