perplexus.info :: Just Math : A digital arrangement

A digital arrangement (Posted on 2005-06-30)

Without using any arithmetical symbols (+, -, *, /, or similar; other math symbols; decimal comma or periods; letters; even parentheses) or, in short, anything but the digits, build a number with the digits 1, 3, 5, 7 and 9, that is equal to a number built with the digits 2, 4, 6 and 8 (each digit used once and only once).

Note: This is not a trick. It was extracted from a book edited by Angela Dunn, a mathematician who gathered problems that appeared in many scientific periodical revues!

Submitted by pcbouhid

Rating: 3.2857 (7 votes)

Solution: (Hide)

The answer uses superscript to indicate power, and subscript to indicate the notational base.

39¹₅₇ = 264₈

Evaluating:

39 to the power 1 is equal to 39; 39 in the base 57 = 3 x 57 + 9 = 180.

264 in the base 8 = 2 x 64 + 6 x 8 + 4 = 128 + 48 + 4 = 180.

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

Subject	Author	Date
Puzzle Solution	K Sengupta	2022-05-13 12:11:42
re: A slight modification	Ady TZIDON	2016-10-16 14:29:05
A slight modification	Larry	2009-05-17 22:40:54
Could I ask for more ?	pcbouhid	2005-07-11 23:16:50
re: Avoiding the big digit trick	pcbouhid	2005-07-11 22:41:25
Avoiding the big digit trick	owl	2005-07-11 21:34:06
re: What about this attempt!?	owl	2005-07-11 21:08:33
re: What about this attempt!?	pcbouhid	2005-07-08 15:09:17
What about this attempt!?	Lisa	2005-07-08 13:29:58
re: Try a notation structure	Charlie	2005-07-02 04:36:09
re: Try a notation structure	pcbouhid	2005-07-01 15:19:06
Try a notation structure	brianjn	2005-07-01 14:25:12
re: Different Approach	pcbouhid	2005-07-01 13:28:54
Different Approach	Lisa	2005-07-01 08:41:35
idea	Ken Haley	2005-07-01 04:16:39
re: Not a trick?	pcbouhid	2005-06-30 23:13:03
re: Not a trick?	pcbouhid	2005-06-30 23:03:03
Not a trick?	Richard	2005-06-30 22:36:04
re(2): A solution and question	pcbouhid	2005-06-30 21:00:10
re: A solution and question	Charlie	2005-06-30 20:40:36
A solution and question	owl	2005-06-30 19:22:18

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