What approach should be taken to solve these two questions?

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Discussion Overview

The discussion revolves around two unspecified questions posed by the original poster (OP). The first question appears to involve a numerical pattern or relationship, while the second question is less clear, with the OP expressing uncertainty about it. The scope includes exploratory reasoning and mathematical reasoning.

Discussion Character

  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • The OP suggests that the solution to the first question seems overly simplistic, as it is based on the observation that the last number in the first two rows is the average of the first three, but questions whether this is the correct approach.
  • Another participant notes that in the second figure, certain elements (the top row, second column, and first diagonal from the top) each sum to 13, indicating a potential pattern.
  • A later reply acknowledges the separation of the two pictures and agrees that the OP's initial solution to the first problem may be more reasonable than initially thought.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best approach to the questions, with multiple viewpoints and uncertainties expressed regarding both questions.

Contextual Notes

The discussion lacks specific details about the questions themselves, which may limit the understanding of the proposed solutions and observations. There are also unresolved assumptions regarding the nature of the patterns being discussed.

Fall3n
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What are people's opinion on these two questions?

The obvious answer for the first question (5) seems too simple, as it merely stems from the observation that the last number in the first two rows happen to be the average of the first three. I'm not sure if the real solution is this easy though.. or maybe I'm just thinking too much.

The second question, I have absolutely no idea about.

Any comments, suggestions, etc, are appreciated.
 
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All I've noticed so far is that in the second figure, for some reason the top row, second column, and first diagonal from the top each adds to 13.
 
In both figures the top square adds to 21 2+7+9+3=9+4+6+2
The left figure bottom square 3+7+6+6 adds to 22.
The right bottom square with the given numbers 2+7+2 adds to 11.
Subtracting the 5 from the sum in the first figure yields 17.
Subtracting 3 from 11 yields 8.
9 would work as an answer using this logic.
mathal
 
Last edited:
I also got
9
But I got it through this method:
If you separate the image into 4 triangles, consisting of the numbers 7,5,4; 5,9,2; 6,6,4; and 3,4,?; you will notice that the complete triangles add up to 16 in each case, continuing on that idea, logically, the missing number is 9.

I just noticed that the two pictures are separate, and that the OP's solution to the first problem makes more sense.
 

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