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take fives And Sixes, Get N

 
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Nov16-08, 08:08 AM   #1
 

take fives And Sixes, Get N


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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Nov16-08, 12:13 PM   #2
 
Answer:

Spoiler
(435) = (2301)
Nov17-08, 02:50 AM   #3
 
Very good, Caracrist.

But there seems to be a typing error, since:
[color=#ededed] (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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Nov17-08, 04:16 AM   #4
 

take fives And Sixes, Get N


Spoiler
(523) = (1240), n=195
Nov17-08, 07:59 PM   #5
 
Quote by daskalou View Post
Spoiler
(523) = (1240), n=195
That's it !!

Well done, daskalou.
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