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Simultaneous Settlement III (Posted on 2013-12-27) Difficulty: 3 of 5
Solve this set of simultaneous alphametic equations, where HUIT and NEUF are respectively positive integers in base 8 and base 9 notation. Each of the letters in bold represents a different digit, and none of the numbers contains any leading zero.

(HUIT)8 = (NEUF)9 - 1, and:
sod(HUIT) = sod(NEUF) - 1

Extra Challenge: A non computer program aided solution.

*** sod(x) denotes the numeric value of the sum of the digits of x.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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  Subject Author Date
Solutionsolution without extra challenge (spoiler)Charlie2013-12-27 17:29:39
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