Divide by one digit numbers by two digit numbers, and add to get 1

**K Sengupta** · Feb4-09, 11:19 AM

Substitute each of the letters by a different decimal digit from 1 to 9 to satisfy this cryptarithmetic equation:

A/(BC) + D/(EF) + G/(HI) = 1

where, each of BC, EF and HI represents a two digit positive integer.

**phlegmy** · Feb4-09, 08:09 PM

This is my answer! [edit and its wrong]

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8/16 + 9/27 + 5/30 damn just realised you cant have "0"

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after 15 mins i cannot find a solution, and am starting to believe there isnt one!!

**davee123** · Feb5-09, 01:01 AM

Originally Posted by phlegmy

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after 15 mins i cannot find a solution, and am starting to believe there isnt one!!

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It's possible, but it ain't pretty. As in, 2 of the fractions you'll need aren't reducible to common things like 1/3 or 1/8, etc. The other fraction's pretty normal.

DaveE

**lewdtenant** · Feb5-09, 02:40 AM

oh man... i was pretty close to getting this right... i was on the right track at least.. but then i got pissed and looked it up instead.. good problem!

**Rogerio** · Feb6-09, 12:04 AM

I got this one:

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5/34 + 7/68 + 9/12