perplexus.info :: Numbers : Palindromic and Tautonymic II

Palindromic and Tautonymic II (Posted on 2009-12-20)

Make a list of distinct positive integers that are obtained by assigning a different base ten digit from 1 to 9 to each of the capital letters in this expression.

(A-B)^C + (C-D)^E + (F-G)^I

What are the respective minimum and maximum positive palindromes from amongst the elements that correspond to the foregoing list.

As a bonus, what are the respective minimum and maximum positive tautonymic numbers that are included in the list? How about the respective maximum and minimum negative tautonymic numbers?

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

Palindromes: Highest was 5,764,675 = (1-6)^3 + (2-9)^8 + (4-5)^7;
lowest was -97,097 = (1-4)^6 + (2-5)^9 + (3-8)^7.
Tautonyms: Highest was only 7272 = (2-4)^9 + (7-1)^5 + (8-6)^3;
lowest was only -7272 = (1-7)^5 + (2-4)^3 + (8-6)^9.
For an explanation, refer to the solution submitted by Jim Keneipp in this location.

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

Subject	Author	Date
Nine-variable results	Jim Keneipp	2009-12-21 04:22:40
Don't forget the negatives	Jim Keneipp	2009-12-20 19:14:09
computer solutions	Charlie	2009-12-20 16:31:54
computer solution to part I	Justin	2009-12-20 14:03:45

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