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avatar+91024 

Magic number - Just for fun 

 

Can you use these numbers to make the magic number?  The magic number is ...   273

You do not need to use all of them but you cannot use any twice.

You can use the operations   + - * / and you can use brackets.

 

1, 4, 8, 9, 75 and  100          laugh    Magic number is   273

 

 

Have fun :)

 

 

There are more of these in the Number Puzzles thread in with the sticky notes - or you can just make them up for yourself.

 

http://web2.0calc.com/questions/number-puzzles

Melody  Nov 1, 2016

Best Answer 

 #9
avatar+18712 
+25

1, 4, 8, 9, 75 and  100              Magic number is   273

 

\(\begin{array}{|rcll|} \hline 273 &=& 100+\dfrac{8+9\cdot(1+75)}{4} \\\\ 273 &=& 75 + \dfrac{100\cdot (9-1) - 8 }{4} \\\\ 273 &=& 75 + \dfrac{1+8\cdot 100 -9 }{4} \\\\ 273 &=& 75 + 9\cdot \left ( \dfrac{100-8 }{4} - 1\right ) \\\\ 273 &=& 1+8\cdot ( 100-75+9) \\\\ 273 &=& 1+8+4\cdot (75-9) \\\\ 273 &=& 9 + 4\cdot(75-8-1) \\\\ 273 &=& 75 +\dfrac{8\cdot (100-1)}{4} \\\\ 273 &=& 1+ 8\cdot( 9 +\dfrac{100}{4}) \\\\ 273 &=& 4\cdot 75 \cdot \left( 1-\dfrac{9}{100} \right) \\\\ \hline \end{array}\)

 

 

laugh

heureka  Nov 1, 2016
Sort: 

14+0 Answers

 #1
avatar+91024 
+5

Here is my answer. I have also tried to give you some insight into how I went about it.

 

273

=300-27

=3*(100-9)

=(4-1)*(100-9)

Melody  Nov 1, 2016
 #2
avatar
+5

OK Melody, here is one way:

[100 - 9] x [ 4 - 1] =

    91      x      3    = 273

Guest Nov 1, 2016
 #4
avatar+1483 
0

You sir, are a god. Congrats on finding a means to getting the magic number.

HighSchoolCalculus  Nov 1, 2016
 #7
avatar+91024 
0

That is excellent guest :)

 

I did it exactly the same way.

I will now uncover my answer which may help people understand my thought processes.   laugh

Melody  Nov 1, 2016
 #3
avatar+1483 
+10

My brain hurts. You've had me here an hour Melody l'll get some sleep and figure it out then since it's been apparently proven through science we slove our problems best in our sleep. Also, l like to sleep. Gosh this is hard.

HighSchoolCalculus  Nov 1, 2016
 #8
avatar+91024 
0

5 stars for your bruised brain  HSC.     cheeky

 

 

Just a little trivia :)

You know, where I live  HSC stands for Higher School Certificate which is a bit silly becasue there is no other school certificate :)

Melody  Nov 1, 2016
 #5
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0

I don't know if you will accept this:

[100 + 75] + 89 =237!

Guest Nov 1, 2016
 #6
avatar
+5

Number 5 doesn't even ADD UP!!!!! Sorry, friend!

Guest Nov 1, 2016
 #9
avatar+18712 
+25
Best Answer

1, 4, 8, 9, 75 and  100              Magic number is   273

 

\(\begin{array}{|rcll|} \hline 273 &=& 100+\dfrac{8+9\cdot(1+75)}{4} \\\\ 273 &=& 75 + \dfrac{100\cdot (9-1) - 8 }{4} \\\\ 273 &=& 75 + \dfrac{1+8\cdot 100 -9 }{4} \\\\ 273 &=& 75 + 9\cdot \left ( \dfrac{100-8 }{4} - 1\right ) \\\\ 273 &=& 1+8\cdot ( 100-75+9) \\\\ 273 &=& 1+8+4\cdot (75-9) \\\\ 273 &=& 9 + 4\cdot(75-8-1) \\\\ 273 &=& 75 +\dfrac{8\cdot (100-1)}{4} \\\\ 273 &=& 1+ 8\cdot( 9 +\dfrac{100}{4}) \\\\ 273 &=& 4\cdot 75 \cdot \left( 1-\dfrac{9}{100} \right) \\\\ \hline \end{array}\)

 

 

laugh

heureka  Nov 1, 2016
 #10
avatar+91024 
+5

WOW

Heureka has found 10 more.   I am VERY impressed!

So that is 11 answers altogether !    laughlaughlaugh

I doubt anyone can better that :)

 

 

Heureka, maybe you would like to post another puzzle for us ?

Melody  Nov 1, 2016
 #11
avatar
0

It is a well-known fact that heureka is an excellent computer programmer. He has simply written a few, very efficient, lines of code to go through all the iterations of the 6 numbers given to arrive at the result of 237 very rapidly!. Congratulations heureka!.

Guest Nov 1, 2016
 #13
avatar+91024 
0

LOL  

Yes i expect you are right guest :)

 I think that is very enrterprising of Heureka   cool

Melody  Nov 1, 2016
 #12
avatar+78620 
0

1, 4, 8, 9, 75 and  100   ......  273

 

4 (75) - 100 + 8*9 + 1  =

 

300 - 100 + 72 + 1 =

 

200 + 72 + 1  =

 

273

 

No....I didn't look at any of heureka's answers, either.....LOL!!!!!!

 

 

 

 

cool cool cool

CPhill  Nov 1, 2016
 #14
avatar+750 
0

There is no doubt that Heureka could create a computer program to find solutions for this math puzzle.

This would take hours to write. I took an introductory programming class, and know enough to say there is nothing simple about doing it. It’s not a simple iterative algorithm. It’s more complicated than a program to solve interest rate problems; you can do those on a spreadsheet.  

 

Anyway, I think it is unlikely Heureka spent the time to write a program to do this.  Here’s a solution not included in his list.

75 * 8 - (100 + 9) * (4 - 1) = 273

A computer program would have found this solution in a blink.

 

 The reason you think he did, is because you are the Blarney Banker who solves interest rate and finance problems by typing numbers in a computer. Any high-functioning baboon can do that. You never solve anything. You just present answers given to you by your computer. Even then you are often wrong. You can’t help it. You are not even a high-functioning baboon – you’re an unethical petty-minded banker, who was never made obsolete, because you never had any real functional purpose in the first place.

 

Heureka is a "Mozart" of mathematics. For him, these are variations on a theme of easy numbers -- an impromptu he could do while napping.  Maybe he did. Like HSC said, “. . . we slove (sic) our problems best in our sleep.”

 

 You should try hibernating for 20 years. Maybe it will help. Probably not, but you’d be known as Rip van Blarney Banker.

 

GA

GingerAle  Nov 4, 2016

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