How Do You Decode the Cryptarithm (THIS)/(CLOSE) = 5/12?

  • Context: Undergrad 
  • Thread starter Thread starter K Sengupta
  • Start date Start date
Click For Summary

Discussion Overview

The discussion centers around decoding a cryptarithm represented by the equation (THIS)/(CLOSE) = 5/12, where each letter corresponds to a unique decimal digit from 0 to 9, and neither T nor C can be zero. The focus is on exploring potential solutions and constraints of the problem.

Discussion Character

  • Exploratory, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant presents the cryptarithm and specifies the constraints regarding the digits.
  • A subsequent post acknowledges an oversight regarding the uniqueness of the digits.
  • Another participant challenges a proposed solution by stating it violates the problem's constraints and seeks clarification on how that solution was derived.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are competing views regarding the validity of proposed solutions and the interpretation of the problem constraints.

Contextual Notes

There is an emphasis on the requirement that all letters represent different digits, and that T and C cannot be zero, which may limit the possible solutions.

K Sengupta
Messages
113
Reaction score
0
Solve this cryptarithm, where each of the letters represents a different decimal digit from 0 to 9. None of T and C is zero.

(THIS)/(CLOSE) = 5/12
 
Mathematics news on Phys.org
Edit: oops, forgot digits are supposed to be different... :blushing:

fixed:
8960/21504
 
Last edited:
yyat said:
4170/10008

That answer is invalid due to the original problem constraints.

Edit: Haha. Do you mind if I ask how you got that answer?
 
Last edited:
t=8 h=9 i=6 s=0 c=2 l=1 o=5 e=4
this=8960 close=21504
this*12=107520 close*5=107520
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
32
Views
4K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
4
Views
2K