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I found this puzzle in a VRChat world.

Its a 6 number puzzle, and I need to know the value of “? ? ? ? ? ?”.

I also need to know the number. enter image description here

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  • $\begingroup$ odd numbers are changing but i still cant come up with right answer $\endgroup$ – user64869 Jan 12 at 15:14
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    $\begingroup$ Welcome to Puzzling.SE! Where did you get this puzzle from? For puzzles you found elsewhere, we require you to link to the original source, otherwise it could be considered plagiarism. $\endgroup$ – F1Krazy Jan 12 at 15:23
  • $\begingroup$ its from a vrchat world someone create to challenge people brains i dont know if i can provide a source off a game $\endgroup$ – user64869 Jan 12 at 15:25
  • $\begingroup$ Hmm... fair point. In that case, I personally think an edit to the question saying "I found this puzzle in a VRChat world" would be enough. $\endgroup$ – F1Krazy Jan 12 at 15:27
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I would argue that this is a poorly specified puzzle (as is common with these things). @MacGyver88's solution is completely valid. But you could equally say

The last row is double the second last row and get 242424.

In fact, if you assume that this is a column-by-column operation, you could set up a system of simultaneous equations to figure out what that operation was (assuming it was linear which is not necessarily valid but we would want to start with simple assumptions):

\begin{eqnarray} 3&a &+ &b &+& c &= 2\\ 2 &a &+ 2&b &+& c &= 4\\ &a &+ 3 &b &+ &c &= 6 \end{eqnarray}

This yields a family of solutions:

\begin{eqnarray} b &=& a+2\\ c &=& -4a \end{eqnarray}

The first solution is simply the $a=0$ case. But there are infinitely many others. Here's a spreadsheet enumerating some of them. Here's a screenshot if you don't want to fiddle with the formulae:

Number Puzzle

The two "best" ones are the $a=0$ already mentioned and the $a=-1$ which yields:

"Take the first number from the second and add 4" as the rule. This gives 442200 for the question marks

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So, the solution might be

777333

Here's how I did it

Fold the first two lines down the middle
Add the numbers together
Enter the numbers in order from top to bottom on the last line

Here's what I did:

enter image description here

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  • $\begingroup$ Just a possible pattern I noticed. $\endgroup$ – MacGyver88 Jan 15 at 16:37
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Alternative solution

242424

 

X1y1z1
X2y2z2
X3y3z3

X3=(x1+x2)-(x1-x2)
Y3=(y1+y2)-(y1-y2)
Z3=(z1+z2)-(z1-z2)

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  • $\begingroup$ $(x_1+x_2) - (x_1-x_2) = 2 x_2$ . It just says $2\times121212 = 242424$ $\endgroup$ – Florian F Jan 18 at 22:53

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