PR 4 # 27

Wacky · 2006-07-03, 23:14

Without using any symbols, arrange the digits 1, 3, 5,7, 9 to equal the digits 2, 4, 6, 8.

retina · 2006-07-06, 11:01

What is considered a "symbol"? "+", "-", "*", "/"?
Is this a trick question?

Wacky · 2006-07-06, 12:54

This is not a "trick" question. There are certain "operations" implied by the relative location of the digit glyphs. For example, concatenation represents the multiplication of the number represented by the leading "string" by the number's base followed by the addition of the number represented by the last digit. There are additional operations implied by other configurations. However, none of these representations require any additional glyphs.

$blob_1 = blob_2$

retina · 2006-07-09, 12:12

The only operations I can think of without using symbols would be superscript for powering and subscript for base change.

Is the answer in four parts where there is a separate result for each digit? Or is it one answer that gives a result containing all the required digits? Or maybe something else?

For example:

11 (base) 7 = 8. [Sorry, I don't know how to do proper subscripts]
11 (base) 5 = 6.
11 (base) 3 = 4.

Wacky · 2006-07-09, 14:00

You have discovered the other two "operations". Now, you need to use each of the digits 1, 3, 5, 7 and 9 once in an expression that is equal to the same value as another expression which uses each of the digits 2, 4, 6 and 8 exactly once each.

(Sorry, I left out the "9". -- The original statement of the puzzle is correct.)

retina · 2006-07-09, 15:09

Quote:

Originally Posted by Wacky

arrange the digits 1, 3, 5,7, 9

Quote:

Originally Posted by Wacky

use each of the digits 1, 3, 5 and 7 once

Hmm, should I use the 9, or should I not?

retina · 2006-07-09, 15:52

The closest I have got is 1735(base)9=2460(base)8 but this doesn't meet the requirements because of the zero.

wblipp · 2006-07-10, 01:50

264[sub]8[/sub] = 39[sub]57[/sub][sup]1[/sup]

and

426[sub]8[/sub] = 75[sub]39[/sub][sup]1[/sup]

2006-07-03, 23:14	#1
Wacky Jun 2003 The Texas Hill Country 3²·11² Posts	PR 4 # 27 Without using any symbols, arrange the digits 1, 3, 5,7, 9 to equal the digits 2, 4, 6, 8. Last fiddled with by Wacky on 2006-07-06 at 11:41

2006-07-09, 14:00	#5
Wacky Jun 2003 The Texas Hill Country 2101₈ Posts	You have discovered the other two "operations". Now, you need to use each of the digits 1, 3, 5, 7 and 9 once in an expression that is equal to the same value as another expression which uses each of the digits 2, 4, 6 and 8 exactly once each. (Sorry, I left out the "9". -- The original statement of the puzzle is correct.) Last fiddled with by Wacky on 2006-07-09 at 17:13

2006-07-06, 11:01	#2
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2·11·283 Posts	What is considered a "symbol"? "+", "-", "*", "/"? Is this a trick question?

2006-07-06, 12:54	#3
Wacky Jun 2003 The Texas Hill Country 3²·11² Posts	This is not a "trick" question. There are certain "operations" implied by the relative location of the digit glyphs. For example, concatenation represents the multiplication of the number represented by the leading "string" by the number's base followed by the addition of the number represented by the last digit. There are additional operations implied by other configurations. However, none of these representations require any additional glyphs. $blob_1 = blob_2$

2006-07-09, 12:12	#4
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2·11·283 Posts	The only operations I can think of without using symbols would be superscript for powering and subscript for base change. Is the answer in four parts where there is a separate result for each digit? Or is it one answer that gives a result containing all the required digits? Or maybe something else? For example: 11 (base) 7 = 8. [Sorry, I don't know how to do proper subscripts] 11 (base) 5 = 6. 11 (base) 3 = 4.

2006-07-09, 15:52	#7
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2×11×283 Posts	The closest I have got is 1735(base)9=2460(base)8 but this doesn't meet the requirements because of the zero.

2006-07-10, 01:50	#8
wblipp "William" May 2003 New Haven 2×7×13² Posts	264[sub]8[/sub] = 39[sub]57[/sub][sup]1[/sup] and 426[sub]8[/sub] = 75[sub]39[/sub][sup]1[/sup]