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Simultaneous Settlement III (Posted on 2013-12-27)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

as decimal H U I T N E U F huit neuf value value 5 4 7 0 3 8 4 2 2872 2873
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	solution without extra challenge (spoiler)	Charlie	2013-12-27 17:29:39

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