perplexus.info :: Numbers : Powering up the digits III

Powering up the digits III (Posted on 2010-01-24)

Substitute each of the capital letters by a different base ten digit from 0 to 8 to satisfy each of the following cryptarithmetic relationships.

ABCDEFGF = A^E + B^E + C^E + D^E + E^E + F^E + G^E + F^E, where each of A and E is nonzero, and:

ABCDEFGF does not contain the digit 1, and:
Reading from left to right, odd digits appear in descending order of magnitude, but the nonzero even digits appear in ascending order of magnitude, in ABCDEFGF.

Submitted by K Sengupta

Rating: 3.0000 (3 votes)

Solution: (Hide)

ABCDEFGF = 24,678,050 = 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 5^8

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	Subject	Author	Date
	Computer Solution	Jim Keneipp	2010-01-24 14:58:04

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