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 EVEN remains even (Posted on 2011-02-20)
ODD+ODD=EVEN is an alphametic puzzle in base b ( b=<16.) What 4 digit numbers represent an integer EVEN, evaluated in all the bases in which valid solutions exist.

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 re: computer solution + analytical spoiler Comment 2 of 2 |
(In reply to computer solution by Charlie)

1310 as EVEN    is a valid answer for any even base 2*b ,b>2

Let O;D;D is  represented   by b+1;b;b

Then  EVEN

"units" =  b+b= 2b =  0  and carry=1       N

"tens"= 1     (carried from b+b=2b    and carry=1)    E

"hundreds" =3  ( b+1+b+1+1=3  and carry=1)    V

"thousands"=1                                          E

16  was set by me as a limit to facilitate use of alphametic solver

Edited on February 28, 2011, 10:37 am
 Posted by Ady TZIDON on 2011-02-20 17:51:34

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