perplexus.info :: Numbers : Fruity Alphametics

Fruity Alphametics (Posted on 2009-10-17)

In this set of alphametic relationships, each of the letters in bold denotes a different digit from 0 to 9. None of the numbers can contain any leading zero.

35*(PLUMS) < 2*(MELONS) < 3*(APPLES), and:
16*(APPLES) < 99*(LEMONS) < 210*(PLUMS)

What is the number that is represented by BANANA?

Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Solution: (Hide)

BANANA = 763636.

For a detailed explanation, refer to the solution submitted by Jim Keneipp in this location.

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*** Based on Problem #5, New Spring Problems, Brain Ticklers, The BENT, Spring 2007 and, Albert Haddad in New Scientist.

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

Subject	Author	Date
solution	subhobrata	2009-11-01 10:40:15
A very poor second	brianjn	2009-10-18 01:59:40
Hybrid solution	Jim Keneipp	2009-10-18 01:41:29

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