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| EVEN remains even (Posted on 2011-02-20) |
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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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Submitted by Ady TZIDON
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Rating: 4.0000 (1 votes)
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Solution:
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(Hide)
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1310 as EVEN is a valid answer for any even base 2*b ,b>2
Let O;D;D be 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.
see Charlie's list OF all possible solutions. |
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