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

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Discussion Overview

The discussion revolves around a cryptarithmetic equation involving the division of one-digit numbers by two-digit numbers, specifically the equation A/(BC) + D/(EF) + G/(HI) = 1. Participants are tasked with substituting different decimal digits from 1 to 9 for the letters to satisfy the equation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents the cryptarithmetic equation and invites others to solve it.
  • Another participant claims to have found a solution but later edits their post to indicate it is incorrect.
  • A different participant expresses frustration at not solving the problem and admits to looking up the answer instead.
  • Another participant shares their solution with a positive emoji, suggesting they believe it to be correct.

Areas of Agreement / Disagreement

There is no consensus on the correct solution, as multiple participants express uncertainty and differing outcomes regarding their attempts to solve the equation.

Contextual Notes

Participants have not provided detailed reasoning or steps for their proposed solutions, leading to potential gaps in understanding the methods used to arrive at their answers.

K Sengupta
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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.
 
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This is my answer! [edit and its wrong]
8/16 + 9/27 + 5/30 damn just realized you can't have "0"

after 15 mins i cannot find a solution, and am starting to believe there isn't one!
 
Last edited:
phlegmy said:
after 15 mins i cannot find a solution, and am starting to believe there isn't one!

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
 
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!
 
I got this one:
5/34 + 7/68 + 9/12
:smile:
 

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