What is the minimum value of N in this cryptarithmetic equation?

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Discussion Overview

The discussion revolves around a cryptarithmetic equation involving different bases, specifically (ABC)6 = (DBEF)5. Participants are exploring the minimum value of N, which represents the common value of both sides in base 10, while adhering to the constraint that A and D cannot be zero.

Discussion Character

  • Exploratory, Debate/contested, Technical explanation

Main Points Raised

  • Post 1 introduces the cryptarithmetic equation and the requirement for A and D to be non-zero digits.
  • Post 3 points out a potential typing error in the equation and suggests that the solution provided may pertain to a different problem involving (ABCD)5 = (DBCA)6.
  • Post 4 acknowledges the contributions of another participant, indicating a positive reception to their input.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct interpretation of the problem, as there is a suggestion of a typing error and a reference to a different equation. The discussion remains unresolved regarding the minimum value of N.

Contextual Notes

There are potential limitations regarding the clarity of the problem statement due to the mentioned typing error, which may affect the understanding of the equation and its solution.

K Sengupta
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The different letters correspond to different digits, with the subscripts denoting the two bases in both sides of this cryptarithmetic equation.

(ABC)6 = (DBEF)5

If the common value in each side of the equation is equal to a positive integer N in base 10, what is the minimum value of N?

Note: None of A or D can be zero.
 
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Answer:

(435) = (2301)
 
Very good, Caracrist.

But there seems to be a typing error, since:
(435)6 = (1132)5

(2301)5 = (1302)6[/ color],

Perhaps you inadvertently posted the solution to:

(ABCD)5 = (DBCA)6

If so, I must compliment you for an accurate solution of that other problem.


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Last edited:
(523) = (1240), n=195
 
daskalou said:
(523) = (1240), n=195

That's it !

Well done, daskalou.
 

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