Here is 2 number puzzle for you.

*The first one is tough, the second one is easier.

You do not have to use every number but you cannot use any number twice.

You can only use + - x and divide and brackets.

If you answer make sure you repeat the question so we all know what you are answering!

---------------------------------------------------------

(1) 2,8,25,50,75,100 Magic number is 431

---------------------------------------------------------

Here is an easier one.

There are at least 3 different solutions to this one!

(2) 4,6,25,50,75,100 Magic number is 821

----------------------------------------------------------

Melody
Aug 5, 2014

#1**0 **

solution:

(1) https://www.youtube.com/watch?v=nG4QCob_dNw&feature=em-subs_digest-vrecs

(2) https://www.youtube.com/watch?v=n8-mx3RSvOQ

OR Melody's way 6(100+50)-75-4 = 821

Melody
Aug 5, 2014

#4**+3 **

Hi Ninja,

Somehow I think your first solution needs some brackets? No it still won't work. Plus you need to swap the 4 for 8/2

Why don't you try the easier one? The hard one is REALLY difficult.

Melody
Aug 5, 2014

#5**+3 **

Yeah I messed up a little, I think I copied the wrong set of numbers for the wrong problem or something.

I guess these were harder than they looked!

I just edited my posts a little. Sorry to messy up your thread.

NinjaDevo
Aug 5, 2014

#6**0 **

---------------------------------------------------------

(1) 2,8,25,50,75,100 Magic number is 431

---------------------------------------------------------

$$\left[\frac{75 + 25}{50}+2 \right]*\left[100+8 \right]\Rightarrow$$ For this one, 431/108 is 3.99 but can it be rounded to 4?

$$\left[\frac{100+8}{\frac{75}{2}-25}\right]*50\rightarrow$$ For this one, rats...result is 8.64 after dividing the first part; too bad it can't be 8.62! Does it have to be the exact number or can it be rounded to 8.6...if so, then 431.5!

AzizHusain
Aug 9, 2014

#7**+3 **

In the kingdom of Camelot we strive for perfection. I am using a small magical pigeon so I have not given your answer the consideration it deserves. However, an exact answer be possible in this magical Kingdom :)

Lady Guinevere

Queen of Camelot.

Melody
Aug 9, 2014

#8**0 **

**(1) 2,8,25,50,75,100 Magic number is 431**

**$$\boxed{\dfrac{\left(50-{\dfrac{100}{25}}\right)*75-2}{8} = 431}$$**

**$$\boxed{\dfrac{50*75-2-100}{8}-25 = 431}$$**

**$$\boxed{\left( 100 + \dfrac{75}{50} \right)*\left( \dfrac{8}{2}\right) = 431}$$**

heureka
Aug 21, 2014

#9**0 **

**(2) 4,6,25,50,75,100 Magic number is 821**

**$$\dfrac{(6+4*50)*100-75}{25} = 821$$**

**$$\left( 50+6 \right) \left( \dfrac{4*100}{25}\right)-75 = 821$$**

**$$\left( 50-6 \right) \left( \dfrac{25*75}{100}\right)-4 = 821$$**

**$$\left( \dfrac{25*75}{50}+100\right)*6-4 = 821$$**

**$$\dfrac{( 75-25)*100-50 }{6}-4 = 821$$**

**$$\dfrac{( 50*100+25-75}{6}-4 = 821$$**

**$$50-4+25*(6-75+100) = 821$$**

**$$75-4+6*(100+50-25) = 821$$**

**$$100-4-25+6*(50+75) = 821$$**

heureka
Aug 21, 2014

#10**0 **

They are fabulous answers Heureka.

I think I got a different one again for the 821 magic number one.

Anyway here are the solutions that I had. They have been hiding all this time on an invisable post :)

These videos were from an Australian show called "Letters and Numbers"

Lily Serna is awesome. another solution to 821 is also really 'out there'

http://web2.0calc.com/questions/here-is-a-number-puzzle-for-you-nbsp-it-s-a-tough-one#r1

Melody
Aug 21, 2014

#11**0 **

Hi Melody,

6(100+50) - 75 - 4 = 821

But what about Number **25** (4,6,25,50,75,100) ?

(100+25)*6 + 75 - 4 = 821

But what about Number **50** (4,6,25,50,75,100) ?

heureka
Aug 21, 2014

#12**0 **

Hi Heureka,

Here are the rules listed at the top of the post

**You do not have to use every number but you cannot use any number twice.**

So you found all those wonderful solutions and you were making the question harder than it even needed to be.

Melody
Aug 21, 2014

#13**+5 **

**Hi Melody,**

thank you for the rules.

**(1) 2,8,25,50,75,100 Magic number is 431**

five Numbers:

$$\left(

\dfrac{75}{100}+50

\right)*8+25=431$$

**(2) 4,6,25,50,75,100 Magic number is 821**

five Numbers:** **

6*(100+50) - 75 - 4 = 821 ( your solution )

6*(100+25) + 75 - 4 = 821 ( your solution )

heureka
Aug 22, 2014

#14**0 **

Your answers were all correct as well (I think).

You are getting me a little confused Heureka. Don't worry about it though. I spend my whole life in a state of confusion. lol.

Melody
Aug 22, 2014

#15