Brain Teasers
24 Games II
Can you take the numbers 23, 23, 23, and 23, and make the total equal 24 using basic arithmetic signs (*, /, +, -)? Each number may only be used once, and every number must be used.
For example, if given 2, 2, 4, and 6, the answer would be
6/2 = 3
3*2 = 6
6*4 = 24
2, 2, 4, and 6 were all used once.
For example, if given 2, 2, 4, and 6, the answer would be
6/2 = 3
3*2 = 6
6*4 = 24
2, 2, 4, and 6 were all used once.
Answer
For 23, 23, 23, and 23, the answer is23*23 = 529
529+23 = 552
552/23 = 24
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Comments
Yay got it on first guess :-)
Yay got it on first guess :-)
if u wanted to make it look nice you could have said that
(23*23+23)/23=24
(23*23+23)/23=24
Jan 11, 2005
YAY! got it first go ;) that was an easy one
I know; when I myself first figured out this answer, I didn't bother trying to find the products, sums, and quotients. However, for the purpose of being as clear as possible, sums, products, and quotients are good. I, myself, figured it as: 23*23 is 23 23s. Add another 23 and it becomes 24 23s, or 24*23. So, dividing by 23 gives you 24.
The directions were not very clear and me being the literal person that I am solved it like this.
23*1=23
23*1=23
23/23=1
1+23=24
23*1=23
23*1=23
23/23=1
1+23=24
Yay good one! Took me a couple tries but I got it!
I suck at math, any form, so you got me that time.
Also 23 + (23-23)/23 = 0
Sorry - brain dead moment - please ignore previous statement!!
I suck at math, any form, so you got me that time.
Mar 11, 2005
23+23^(23-23) = 24
that was good i wish i was better at math
I got it but it was more trial and error rather than using the old noodle.
I went with
I went with: 23-23=0, 0+23=23, 23/23=1 1+23=24
so many ways it could of been figured out...
I did:
23 + 23 = 46
46 / 23 = 2
46 + 2 = 48
48 / 2 = 24
23 + 23 = 46
46 / 23 = 2
46 + 2 = 48
48 / 2 = 24
No, chucklz there is only one way to solve this one. mschup, you used 23 five times, not four, And nicksdad, you used only 3 23's.
It was a little hard to get from the puzzle statement, buy you were supposed to be able to write it out as a single line of arithmetic, like ((23*23) + 23)/23 = 24 . Parentheses added for clarity.
It was a little hard to get from the puzzle statement, buy you were supposed to be able to write it out as a single line of arithmetic, like ((23*23) + 23)/23 = 24 . Parentheses added for clarity.
donfrench is right. There is only one solution to this problem.
However, niksdad has breached the rule 'use all numbers and once only'.
You used two 23's to get your 46, but then you used that 46 and another 23 to get your 2. You then added these together to get 48. So far you have used five 23's. Dividing by two means you have used another three 23's, so you have used 8 in total.
Carol Vorderman would be cross!!
By the way, I really liked the puzzle.
I did:
23 + 23 = 46
46 / 23 = 2
46 + 2 = 48
48 / 2 = 24
--------------------------------------------------------------------------------
Posted by donfrench Mar 11, 2005
No, chucklz there is only one way to solve this one. mschup, you used 23 five times, not four, And nicksdad, you used only 3 23's.
It was a little hard to get from the puzzle statement, buy you were supposed to be able to write it out as a single line of arithmetic, like ((23*23) + 23)/23 = 24 . Parentheses added for clarity.
However, niksdad has breached the rule 'use all numbers and once only'.
You used two 23's to get your 46, but then you used that 46 and another 23 to get your 2. You then added these together to get 48. So far you have used five 23's. Dividing by two means you have used another three 23's, so you have used 8 in total.
Carol Vorderman would be cross!!
By the way, I really liked the puzzle.
I did:
23 + 23 = 46
46 / 23 = 2
46 + 2 = 48
48 / 2 = 24
--------------------------------------------------------------------------------
Posted by donfrench Mar 11, 2005
No, chucklz there is only one way to solve this one. mschup, you used 23 five times, not four, And nicksdad, you used only 3 23's.
It was a little hard to get from the puzzle statement, buy you were supposed to be able to write it out as a single line of arithmetic, like ((23*23) + 23)/23 = 24 . Parentheses added for clarity.
WHERE DO YOU PEOPLE PUT YOUR BRAINS???? SERIOUSLY, IT COULD GET IN THE WAY WHEN WALKIND THROUGH DOORS!!!!
actually mlsmedina is also correct...
23+23^(23-23) = 24
anything to the 0 power is 1...
1 + 23 = 24
using 24 four times
23+23^(23-23) = 24
anything to the 0 power is 1...
1 + 23 = 24
using 24 four times
That was easy but fun
I did the same as mschup.
xmessiahx- good thinking, although technically in the directions the only options were typical operands + - * and /...no ^.
How about this, it may seem a bit unorthodox but I did use all the numbers:
(2*3)+(2*3)+(2*3)+(2*3)=24
(2*3)+(2*3)+(2*3)+(2*3)=24
Mar 12, 2005
YAY! i got it on like the 4th try and im with a few other people. there is only 1 way to solve this problem right. great teaser!
How about this one?
23*23=529
529/23=1
1+23=24
I'm new to this, and my daughter-in-law and I work these Braingles every morning. I'll be 96 in August.
23*23=529
529/23=1
1+23=24
I'm new to this, and my daughter-in-law and I work these Braingles every morning. I'll be 96 in August.
I didn't get the directions... I did 23/23+23=24... so, yeah, I'm a pineapple... (Blonde on the inside, brunette on the outside, for those of you who don't know what a pineapple is...)
YOU DON'T HAVE TO USE ALL THE MATHEMATICAL SIGNS JUST SOME MAN YOU GUYS ARE STUPID
I f I can still do math,
23/23=1x23=23=1=24 much simpler.
23/23=1x23=23=1=24 much simpler.
sorry, this one was way too easy, didn't even need the calculator.
Yuki-kun...thats like the pot calling the kettle black...you needed to use 23 four different times in your calculation
Come on everybody, can you not get your heads around the x(x+1)/x formula.
Yuki-Cun doesn't use enough numbers hile others decide to break the rules and use 'powers' and 'roots'.
READ THE QUESTION - Use all the number and each number only once using /,*,+,-
I bet you lot all fail your exams!
Yuki-Cun doesn't use enough numbers hile others decide to break the rules and use 'powers' and 'roots'.
READ THE QUESTION - Use all the number and each number only once using /,*,+,-
I bet you lot all fail your exams!
I'd be afraid to be the Math teacher of you lot... Come on, we're supposed to write an EQUATION! sweetpeao4o3 - your EQUATION using that method would be 23/23*1+1=24. If I can still count and read than that is NOT using 4 23's...in fact, It's not even using THREE. Come on people...take time to check your work before you call us ignorant for using "complex" problems. *cough cough* Perhaps you should go back to elementary school math *cough cough*
Oops, sorry. I made a little typo. The equation would actually be 23/23*23+1=24 Heeheehee, silly me!
That is STILL only 3 twenty-three's. Guys, I thoroughly thought this problem out before I submitted it, and there is a single solution, which is the one presented in the answer.
Maybe people (myself included) were confused because the example given breaks the rules of the puzzle. Each number may only be used once, and every number must be used.
"For example, if given 2, 2, 4, and 6 the answer would be
6/2 = 3
3*2 = 6
6*4 = 24
2, 2, 4, and 6 were all used once."
Oops... you used 6 twice.
"For example, if given 2, 2, 4, and 6 the answer would be
6/2 = 3
3*2 = 6
6*4 = 24
2, 2, 4, and 6 were all used once."
Oops... you used 6 twice.
or not. Never mind.
No, I did not. OK, I will explain the example problem. The original 2, 2, 4, and 6 I will designate using *#*.
*6* / *2* = 3
3 x *2* = 6
6 x *4* = 24
The 6, 2, 2, and 4 were each used once. The number on the right side of the equation MUST BE USED in the next equation to continue the flow. You CANNOT reserve, for example, the 3 to use later on. It's really not that complicated. And the basic arithmatic operations (addition, subtraction, multiplication, and division) are the only operations allowed. They do not all have to be used.
*6* / *2* = 3
3 x *2* = 6
6 x *4* = 24
The 6, 2, 2, and 4 were each used once. The number on the right side of the equation MUST BE USED in the next equation to continue the flow. You CANNOT reserve, for example, the 3 to use later on. It's really not that complicated. And the basic arithmatic operations (addition, subtraction, multiplication, and division) are the only operations allowed. They do not all have to be used.
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