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one/five = .two (Posted on 2008-11-24) Difficulty: 2 of 5
Substitute each of the small letters in bold by a different decimal digit from 0 to 9 to satisfy this alphametic equation:

(one)/(five) = .two

where, none of o, f and t is zero, and the 3-digit number represented by two is even.

Note: Try to derive a non computer-assisted solution, although computer program/spreadsheet solutions are welcome.

See The Solution Submitted by K Sengupta    
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re: a start for an analytical solution Comment 3 of 3 |
(In reply to a start for an analytical solution by Dej Mar)

I can go further and say that either one of FIVE or TWO must be an odd multiple of 125 and the other is a multiple of 8 and not a multiple of 5. 

I concluded this after seeing that the product FIVE*TWO is a multiple of 1000 and the two multiplicands had different ones digits.

Assuming TWO is the multiple of 125 quickly leads to a solution. But that solution has TWO being odd, whereas the problem calls for TWO to be even.


  Posted by Brian Smith on 2008-11-30 03:33:18
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