Take fives And Sixes, Get N

1. Nov 16, 2008

K Sengupta

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.

2. Nov 16, 2008

Caracrist

(435) = (2301)

3. Nov 17, 2008

K Sengupta

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: Nov 17, 2008
4. Nov 17, 2008

(523) = (1240), n=195

5. Nov 17, 2008

That's it !!