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

  • Level: Undergrad 
  • Thread starter Thread starter K Sengupta
  • Start date Start date
  • Tags Tags
    Numbers
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
4 replies · 6K views
K Sengupta
Messages
113
Reaction score
0
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.
 
Mathematics news on Phys.org
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!