CTK Exchange
CTK Wiki Math
Front Page
Movie shortcuts
Personal info
Awards
Terms of use
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Arithmetic/Algebra
Geometry
Probability
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Recommend this site

Manifesto: what CTK is about Search CTK Buying a book is a commitment to learning Table of content Products to download and subscription Things you can find on CTK Chronology of updates Email to Cut The Knot Recommend this page

CTK Exchange

Subject: "Four numbers equal 24?"     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange High school Topic #330
Reading Topic #330
Rose
guest
Aug-21-05, 03:24 PM (EST)
 
"Four numbers equal 24?"
 
   Using 5, 5, 5, and 1 ONLY adding subtracting, multiplying and dividing is it possible to get those four numbers to equal 24 and if so how?

nymphminxgoddess@gmail.com


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top

  Subject     Author     Message Date     ID  
  RE: Four numbers equal 24? Tom Bellows Aug-28-05 1
     RE: Four numbers equal 24? Thien Sep-27-05 4
  RE: Four numbers equal 24? phdx Sep-02-05 2
  RE: Four numbers equal 24? tony b Sep-17-05 3
  RE: Four numbers equal 24? Owen Oct-06-05 5
     RE: Four numbers equal 24? Madison Jan-29-06 7
         RE: Four numbers equal 24? joe May-23-07 9
             RE: Four numbers equal 24? allie Aug-30-07 10
                 RE: Four numbers equal 24? alexbadmin Sep-01-07 11
             RE: Four numbers equal 24? Andrew Dec-13-07 12
                 RE: Four numbers equal 24? alexbadmin Dec-13-07 13
  RE: Four numbers equal 24? josh Jan-20-06 6
  RE: Four numbers equal 24? Leo Feb-08-06 8
     RE: Four numbers equal 24? DJP Jan-08-08 14
         RE: Four numbers equal 24? ikt Feb-26-08 15
  RE: Four numbers equal 24? jonathan Nov-06-10 16
     RE: Four numbers equal 24? Aleah Brooks Jan-08-11 17
         RE: Four numbers equal 24? alexbadmin Jan-13-11 18

Conferences | Forums | Topics | Previous Topic | Next Topic
Tom Bellows
guest
Aug-28-05, 07:40 PM (EST)
 
1. "RE: Four numbers equal 24?"
In response to message #0
 
   There are many ways to do this, Rose, and I am not sure that you have stated all the portions of the problem. Do we use only each number once? Must we use each number?

Anyway, two ways are as follows. 5 times 5 is 25, subtract 1, equals 24. Another is to add 1 plus 5 equals 6, now 6 times 5 equals 30, now add 1 plus 5 again and get 6, finally 30 minus 6 equals 24.

If there are some other limitations, perhaps you could let us know.

Regards,
Tom Bellows


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Thien
guest
Sep-27-05, 12:31 PM (EST)
 
4. "RE: Four numbers equal 24?"
In response to message #1
 
   >There are many ways to do this, Rose, and I am not sure that
>you have stated all the portions of the problem. Do we use
>only each number once? Must we use each number?
>
>Anyway, two ways are as follows. 5 times 5 is 25, subtract
>1, equals 24. Another is to add 1 plus 5 equals 6, now 6
>times 5 equals 30, now add 1 plus 5 again and get 6, finally
>30 minus 6 equals 24.
>
>If there are some other limitations, perhaps you could let
>us know.
>
>Regards,
>Tom Bellows

If I am correct, then this is a game where you can only use each number once, and you must use all four numbers. You can operate on the numbers however you like using the operators +, -, *, and / to get the number 24.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
phdx
guest
Sep-02-05, 09:02 PM (EST)
 
2. "RE: Four numbers equal 24?"
In response to message #0
 
   5-1/5
x 5
= 24


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
tony b
guest
Sep-17-05, 06:44 AM (EST)
 
3. "RE: Four numbers equal 24?"
In response to message #0
 
   (5-1/5)x5= 24


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Owen
guest
Oct-06-05, 08:40 AM (EST)
 
5. "RE: Four numbers equal 24?"
In response to message #0
 
   Another problem of this variety (in the sense that the solution involves fractions) is to obtain 24 using the four numbers 3, 3, 7, and 7. It is possible, using only *, +, -, and / to do this, using each number exactly once.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Madison
guest
Jan-29-06, 11:30 AM (EST)
 
7. "RE: Four numbers equal 24?"
In response to message #5
 
   >Another problem of this variety (in the sense that the
>solution involves fractions) is to obtain 24 using the four
>numbers 3, 3, 7, and 7. It is possible, using only *, +, -,
>and / to do this, using each number exactly once.


How can you get these four numbers 3 7 3 7 to equal 24?


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
joe
guest
May-23-07, 10:01 PM (EST)
 
9. "RE: Four numbers equal 24?"
In response to message #7
 
   7(3/7 3) = 24

an even harder one is getting 8 8 3 3 to equal 24, but it is possible.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
allie
guest
Aug-30-07, 08:31 PM (EST)
 
10. "RE: Four numbers equal 24?"
In response to message #9
 
   how on earth do you get the numbers 3 3 8 8 to equal 24... considering you can only use each number once...you have to use all four numbers and...you can only +, -, * and /


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
alexbadmin
Charter Member
2702 posts
Sep-01-07, 09:34 AM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
11. "RE: Four numbers equal 24?"
In response to message #10
 
   Check this thread:

https://www.cut-the-knot.org/htdocs/dcforum/DCForumID3/340.shtml


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Andrew
guest
Dec-13-07, 12:19 PM (EST)
 
12. "RE: Four numbers equal 24?"
In response to message #9
 
   7(3/7 3) = 24

could you please explain this answer a little better please? Whats between the second 7 and 3?


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
alexbadmin
Charter Member
2702 posts
Dec-13-07, 12:22 PM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
13. "RE: Four numbers equal 24?"
In response to message #12
 
   It's supposed to be

7(3/7 + 3)

There is a bug in the forum software that sometimes makes signs '+' disappear.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
josh
guest
Jan-20-06, 10:47 AM (EST)
 
6. "RE: Four numbers equal 24?"
In response to message #0
 
   it is possible 5 times 5+5=30 30-5-1=24 there is ur answer


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Leo
guest
Feb-08-06, 06:37 PM (EST)
 
8. "RE: Four numbers equal 24?"
In response to message #0
 
   5+5+5+1=24 in a base 6 system (0, 1, 2, 3, 4, 5, 10, 11, etc)


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
DJP
guest
Jan-08-08, 09:20 AM (EST)
 
14. "RE: Four numbers equal 24?"
In response to message #8
 
   THIS IMPOSSIBLE?

12, 13, 4, 1 = 24

ONLY USING THE ABOVE RULES, = , - , X , /, AND () AND YOU MUST USE EACH NUMBER ONCE.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
ikt
guest
Feb-26-08, 11:25 AM (EST)
 
15. "RE: Four numbers equal 24?"
In response to message #14
 
   >THIS IMPOSSIBLE?
>
>12, 13, 4, 1 = 24
>
>ONLY USING THE ABOVE RULES, = , - , X , /, AND () AND YOU
>MUST USE EACH NUMBER ONCE.
It can be done
(5-(1:5))* 5 = 24


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
jonathan
guest
Nov-06-10, 02:29 PM (EST)
 
16. "RE: Four numbers equal 24?"
In response to message #0
 
   5+5+5-1


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Aleah Brooks
guest
Jan-08-11, 01:13 PM (EST)
 
17. "RE: Four numbers equal 24?"
In response to message #16
 
   how do I get the number 24 by adding, subtracting, multiplying, and dividing:7 5 3 3 ?????????????????????????????????????? please help!!

thanks (:


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
alexbadmin
Charter Member
2702 posts
Jan-13-11, 09:06 PM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
18. "RE: Four numbers equal 24?"
In response to message #17
 
   57 - 33 = 24


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to have a look at the old CTK Exchange archive.
Please do not post there.

Copyright © 1996-2018 Alexander Bogomolny

Search:
Keywords:

Google
Web CTK