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 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.

Melody
Nov 1, 2016

#9**+25 **

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

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

heureka
Nov 1, 2016

#1**+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

#4**0 **

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

HighSchoolCalculus
Nov 1, 2016

#3**+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

#9**+25 **

Best Answer

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

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

heureka
Nov 1, 2016

#10**+5 **

WOW

Heureka has found 10 more. I am VERY impressed!

So that is 11 answers altogether !

I doubt anyone can better that :)

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

Melody
Nov 1, 2016

#11**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

#12**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!!!!!!

CPhill
Nov 1, 2016

#14**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