As shown in the figure is a table of natural numbers arranged in a certain order. Five different numbers can be framed by a cross box with five spaces. Now the sum of the numbers on the four corners of the five numbers in the box is 48. If the sum of the four corners of the five numbers in the box is 624, what are the numbers on the four corners?

As shown in the figure is a table of natural numbers arranged in a certain order. Five different numbers can be framed by a cross box with five spaces. Now the sum of the numbers on the four corners of the five numbers in the box is 48. If the sum of the four corners of the five numbers in the box is 624, what are the numbers on the four corners?

According to the stem analysis, the number in the center is: 624 △ 4 = 156, the number on the left is: 156-1 = 155, the number on the right is: 156 + 1 = 157, the number on the top is: 156-7 = 149, the number on the bottom is: 156 + 7 = 163, a: the numbers of the four corners are 149155157163

In the table with 9 spaces, please fill in 1, 2, 3, 4, 5, 6, 7, 8 and 9 so that the sum of the three numbers in each row, column and diagonal is equal

The solution is as follows
1+2+...+9=45
The sum of each row is equal, so the sum of each row is 45 / 3 = 15
The sum of each column is equal, so the sum of each column is 45 / 3 = 15
Let the middle value be a
The sum of the two diagonals is 30
The sum of the middle column and the middle row is 30
Then 30 + 30 = (45-a) + 4a, so a = 5
The sum of the two remaining related numbers is 10, which can be taken as (1 + 9), (2 + 8), (3 + 7), (4 + 6)
There are several kinds of rankings
as
6 7 2
1 5 9
8 3 4

Fill in the blanks according to the number rule

Because 7 × (4) = 28, 5 × (4) = 20, so 4 × (4) = 16, so the answer is: 16

Fill in the blank number 65 37 17 () how to bring out the process and law

The first floor is far fetched
My personal feeling is
65=8*8+1；
37=6*6+1；
17=4*4+1；
2*2+1=5；
The answer is the same, but the law is different. What do you think