What approach should be taken to solve these two questions?

[Fall3n]

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.

 

[nidefatt]

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.

 

[mathal]

Spoiler

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

 

[KrisOhn]

I also got

Spoiler

9

But I got it through this method:

Spoiler

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.

 

[LudusRex]

I would approach this problem by first analyzing the given information and identifying any patterns or relationships. From the given information, it appears that the first two rows follow a specific pattern, with the last number being the average of the first three numbers. However, it is important to note that this may not necessarily hold true for the missing integer, as it could break the pattern or follow a different rule.

Regarding the second question, it is difficult to provide an opinion without any further context or information. It would be helpful to have more background on the problem or any additional clues that could lead to a solution. Without this information, it is impossible to make an informed opinion.

In science, it is important to approach problems with an open mind and consider all possibilities. It may be helpful to gather more data or try different approaches to solving the problem. Collaboration and discussion with others can also be beneficial in finding a solution. Ultimately, it is important to remain objective and not let personal opinions or biases influence the search for an answer.