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February 8th, 2010, 08:46 AM   #1
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Fraction and Fraction Sum Substitution

Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of alphametic relationships. None of the numbers can contain any leading zero.

(DINAH)/(SHORE) = 1/2, and:

(NO)/(HEO) + S/(HO) = 1
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February 9th, 2010, 03:34 AM   #2
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Re: Fraction and Fraction Sum Substitution

Hi;

D = 3
I = 0
N = 7
A = 9
H = 1

S = 6
H = 1
O = 5
R = 8
E = 2

These values solve both at the same time:

30791 / 61582 = 1 / 2 and 75 / 125 + 6 / 15 = 1
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