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

  • Thread starter K Sengupta
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In summary, the conversation discusses a cryptarithmetic equation where different letters correspond to different digits and the subscripts denote the bases. The question asks for the minimum value of a positive integer N in base 10 that is equal to the common value in each side of the equation. It is noted that none of the variables A or D can be zero. There is also a mention of a possible typing error in the equation, but the solution provided is accurate for a different problem. The administrator is requested for assistance with the chosen portion of the conversation.
  • #1
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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  • #2
Answer:

(435) = (2301)
 
  • #3
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.


*** Request Administrator assistance in due concealment of the chosen portion, for which the code do not seem to work for my browser.
 
Last edited:
  • #4
(523) = (1240), n=195
 
  • #5
daskalou said:
(523) = (1240), n=195

That's it !

Well done, daskalou.
 

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