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Puzzle me this, puzzle me that. Can you catch up or not? by macoolette

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· @macoolette ·
$1.18
Puzzle me this, puzzle me that. Can you catch up or not?
Sometimes it is good to have diversion and variety so let's get into something different this time.  It came to mind when I am lining up scheduled posts while I will be away.

Here is something for you to think about as we approach the weekend. Please help me find the missing number on the lower right corner of pentagon in the middle.

![riddle.jpg](https://files.steempeak.com/file/steempeak/macoolette/OfRou0CH-riddle.jpg)

Simple rules:
1. Comment with your number and the explanation on how you came up with such number.
2. The explanation should indeed result to the correct number.  Otherwise, the whole answer is not valid even if the number is correct.
3. The explanation should have a logical sense or sequence.  It can not be that you just draw a number from the air. 😊

Upvote and resteem are not required but will certainly be appreciated.

Deadline of answering will be the payout closing of this post.  After that, I will pick the comments with valid answers and draw lots for a winner who will win 1 SBI share. @freedomshift, would you like to sponsor a second winner?

Depending on the timing I may or may not video-record the drawing of winners.  The winners will be announced on a separate post.

I will be adding Steem Bounty reward for this post so just commenting sensibly may already win you a prize.

Time to jog our brains a little.  Go solve the puzzle... 

Have a great weekend ahead!

-----
_Unless different source is cited, all photos and graphics I post are mine.  Either I took the photo or I created the graphics through photo editing tools._

-----
Join #ccc for [Guaranteed 👍 Daily Income 💵 and Payout 💸 for Newbies (2.0) 🐟 🐜 🐛 in #ccc 👣 and Follow 👣 the Honor Code 🏅 - the Creed (Conditions and Limits Inside)](https://steemit.com/ccc/@freedomshift/guaranteed-daily-income-and-payout-for-newbies-2-0-in-ccc-and-follow-the-honor-code-the-creed-conditions-and-limits-inside) AND the [latest update](https://steemit.com/ccc/@freedomshift/an-update-v2-1-to-guaranteed-daily-income-and-payout-for-newbies-2-0-in-ccc-and-follow-the-honor-code-the-creed-conditions-and) <<< _please click to read._

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👍  , , , , , , , , , ,
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vote details (11)
@freedomshift ·
> After that, I will pick the comments with valid answers and draw lots for a winner who will win 1 SBI share. @freedomshift, would you like to sponsor a second winner?

Are you sure that there will be even one winner? 

Can a "second winner" just copy the answer of the first?
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@macoolette ·
Oh my... Thanks for your comment. It served as my reminder.  I have so many notifications lately that I am struggling to juggle. I forgot about this.

At the rate of how it is going, just one winner seem far fetched.  I guess I made the challenge really challenging huh?
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@macoolette ·
Okay, I think I need to park a prize for the possible second winner.  Will you sponsor that?  &#128522;
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@freedomshift · (edited)
23 = 2 * 7 + 9

----------
case | formula | result | comment
--- | --- | --- | --- |
1  | 3 * 8 - 5 | 19 | n1 * n3 - n3D
2  | 4 * 6 - 2 | 22 | n1 * n3 - n3D
3  | 2 * 9 + 7 | 25 | n1 * n3 + n1D
4  | 1 * 5 + 4 | 9 | n1 * n3 + n3U
5  | 2 * 7 + 9 | 23 | n1 * n3 + n3U

My rules -
- the pentagon in the middle holds the answer
- the sequence of calculation is top left to top right >= multiply the first two numbers
- each number in each vertice is used once only
- the result is obtained by either 
- - n1 * n3 - n3D (going down) or
- - n1 * n3 + n3U (going up) or
- - n1 * n3 + n1D (going down but cross back from p3 to p1)
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@macoolette ·
Good try, but try again... &#128515;
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@freedomshift ·
I think this puzzle has more than one solution.
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@macoolette ·
Oh my goodness! You've confused me all the more. &#128514;

Yes, the pentagon in the middle holds the answer (that is where the X is &#128539;).  But there is only one formula for all.  It can not be that your cases 1and 2 have subtraction in the end while cases 3 to 5 have addition.
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@freedomshift ·
you are thinking linear (1 dimensional) or at most 2 D - my thinking is 3 D at least ...
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@freedomshift · (edited)
This is certainly an interesting puzzle. However, the rules did not sufficiently bound the problem - hence, there can be multiple correct answers.

Given the comment added -
> Okay, let's try these more hints...
> - The numbers in the first and third pentagons have nothing to do with each other but have something to do with the numbers in the middle one.
> - The numbers in the same corner of first and third pentagon forms a formula that leads to the number in the same corner of the middle pentagon. For example, number 6 in first pentagon and number 4 on third pentagon when entered into a formula will lead to number 22 in the middle pentagon. You just have to figure out the formula...

But, first of all, they were given as "hints" and "for example" only.

The rules are -
> Simple rules:
> - Comment with your number and the explanation on how you came up with such number.
> - The explanation should indeed result ~~to~~ [in] the correct number. Otherwise, the whole answer is not valid even if the number is correct.
> - The explanation should have a logical sense or sequence. It can not be that you just draw a number from the air.

So, I am taking the last rule as my starting point -
> - The explanation should have a logical sense or sequence.

Let me apply this to all three viable answers although no one provided "the explanation [in a complete and] a logical sense or sequence."
Assumptions:
- this is an algebraic problem
-  the "left-hand side" (of the equal sign or '=') numbers come from P1 (left-hand side pentagon) and P3 (right-hand side pentagon)
- P2 (pentagon in the center) holds the answer
- at least one number in the corresponding corner (vertice) of P1 and P3 is used in the equation that gives the calculated value in the corresponding vertice of P2
- the only operators are multiply, add, and subtract

Not bounded or limited by any rules, hints, or examples -
- how many equations?
- how many operators in each equation?
- how many variables in each equation?
- how many variables from each of P1 and P3 can be used in each equation?

Now, the implied rules or bounding rules for the approach used in the answer by @softwaricho are -

Bounding rules
- how many equations? **_only 1_**
- how many operators in each equation? **_bound not known; used two only_**
- how many variables in each equation? **_only 2_**
- how many variables from each of P1 and P3 can be used in each equation? **_only 1_**

For the answer by @romeliagarcia -
Bounding rules
- how many equations? **_only 1 stated although shown as 3_**
- how many operators in each equation? **_bound not known; used two only_**
- how many variables in each equation? **_up to 4_**
- how many variables from each of P1 and P3 can be used in each equation? **_up to 2_**

My rules are clearly stated and for the following -
Bounding rules
- how many equations? **_3_**
- how many operators in each equation? **_3_**
- how many variables in each equation? **_3_** (total of 5 variables in 3 equations)
- how many variables from each of P1 and P3 can be used in each equation? **_1 or 2_**

PLUS - I used "vector mathematics -
- left to right is the multiplication
- top to bottom in the same pentagon is  to subtract but from P3 to P1 is to add
- lower (bottom) to higher (upper) in the same pentagon is to add
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@macoolette · (edited)
😂 Yes, I got your point. But the formula can not be arbitrary that you use one to come up with the given answer and then you use a different one to derive X. Otherwise, that will strike the number pattern.  You need not make things too complicated, yeah? 😂

Anyway, I'll be tossing the coin and post the winner result later tonight, my timezone. 😊
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@freedomshift · (edited)
I assumed it to be another dimension with three levels - the pentagons are like three-story buildings. Therefore, three formulas one for each level.

I don't want to spoil your contest, but, as a math enthusiast, I must point out the factors and assumptions.
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@iamthegray ·
Hola 

I checked out the hint but still can't figure it out 

Any help?
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@macoolette ·
Okay, let's try these more hints...

- The numbers in the first and third pentagons have nothing to do with each other but have something to do with the numbers in the middle one.  
- The numbers in the same corner of first and third pentagon forms a formula that leads to the number in the same corner of the middle pentagon.  For example, number 6 in first pentagon and number 4 on third pentagon when entered into a  formula will lead to number 22 in the middle pentagon.  You just have to figure out the formula...

You can do it!  &#128522;
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@iamthegray · (edited)
I feel like I'm cheating but I think @softwaricho has the formula figured out. 

You multiply the numbers in the first and third pentagon, add the number in the third pentagon and  and subtract the number in the first pentagon 

Using that formula, X = 9

Blessings
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@macoolette ·
Well, you could have just presented what you got without looking at the other answers. Anyway, thanks for trying. 😊
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@kimabg ·
10?


a clue, please.

The three pentagons have the same formula?
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@macoolette ·
Not 10.  Try again... Check out the clues I replied to @iamthegray on the comment section.

Come on, you can do it!  &#128522;
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@romeliagarcia ·
Oh my god, you have me checking out hahaha

It will be 14, that is:
7 x 2 = 14 then -
5 x1= 5
14 - 5 = 9.


The numbers of the pentagon 1 and 3, have as a result the numbers of the 2 pentagon?
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@macoolette ·
The numbers on pentagons 1 and 3 have something to do with the numbers on pentagon 2.

It is not 14.  Try again.  You can do it! &#128522;
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@romeliagarcia · (edited)
It's not 14, it's 9.

When multiplying (7 x 2) = 14 - 7 = (7 + 2) = 9.

Yes?

Playing with pentagons 1 and 3.
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@softwaricho ·
I've been seeing this pentagons for long time. Looking for a secuence. Sums, prime numbers, dates, letters. But I still don't get it.
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@macoolette ·
I will give you a clue.  The pattern is a combination of multiplication, addition and subtraction.  You just need to figure out the whole formula and you will come up with the answer.

Try again... You can do it!  &#128522;
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@softwaricho ·
Thank you for the clues. I figured it out. The answer is 9

It comes from the multiplication of the two numbers, the sum of the third pentagon and the substraction of the first pentagon.  Resolved it on excel. Heres the capture. 

![bounty.JPG](https://cdn.steemitimages.com/DQmZMJLjEYs3JMTK91XSiryVeF6EEMeR12kkcZfeS6zsvhR/bounty.JPG)
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@steem-bounty ·
Buonty added
@macoolette has set 2.000 SBD bounty on this post!
 ![logo_for-light-bg_1000.png](https://steemitimages.com/DQmdYbGNQCwrAsveg9Yv5YeRqCCzjCYhoavinDwYLqPN9mu/logo_for-light-bg_1000.png)   <br>


Bounties are  a new way you can earn rewards irrespective of you Steem Power.  Go [here](https://steemit.com/steem-bounty/@rjoshicool/how-to-use-steem-bounty-one-of-the-most-popular-dapp-on-steem-blockchain) to learn how bounties work.

Earn the bounty by commenting what you think the bounty creator wants to know from you.

[Find more bounties here](https://steem-bounty.com/) and become a bounty hunter.

Happy Rewards Hunting!
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@steem-bounty ·
bounty payout
None has won the bounty reward!
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@xabi · (edited)
It's unethical to do, what you just did...
You have no right to post a link in message section...
If you are so concerned about it...you should not vote on it and let the moderators/system decide it!!!
I am trying to make honest living here.
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@freedomshift ·
This comment itself is much more than rude, sir&#10071;
----------------------

_Whatever beef that you might have, it should not be taken up here&#10071;_
---------
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@macoolette · (edited)
Hahaha! It's okay.  Think of it as just another way for the steem bounty. &#128514;

Thanks for defending me.  &#128522;
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@macoolette ·
Hi @xabi.  I looked for you on discord but I cannot find you so I came back here to answer your allegation.

First of all, I asked.  If you missed the point of that, it is not an accusation but a plain question.  Please read my comment again.  You need not have to be very reactive and just let the moderators decide.

On a separate note, you picked a good post of mine to comment on.  This post has steem bounty prize on it.  You may get a part of the prize with your comment.  So cheer up and good luck on your hunt!  Cheers! :)
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@xabi · (edited)
But please don't post links in the comments. It's kind of rude... If you think a hunt is duplicate you can decide not to vote it. 
I am not making an accusation. I am just requesting you to give me "the benefit of doubt...
I would be fool to post a duplicate hunt knowing that moderators will figure it out. I was just complaining about you being so blunt. 
**That comment looks bad on my hunt and reputation.**
Pardon me if you felt disrespected...

*And you can always go their and edit your comment... If you think of me as an honest hunter... And want to give me the benefit of the doubt.*
And thanks for the bounty... Hahaha
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