As shown in the figure, the following matrix consists of 50 even numbers 2 4 6 8 10 12（14 16) 18 20 （22 24 ）26 28 30 ............... 92 94 96 98 100 (1) What is the relationship between the four numbers in the box? (2) If the sum of four numbers is 200, can we find the four numbers? (3) if the sum of four numbers is 2004, can we find the four numbers?

As shown in the figure, the following matrix consists of 50 even numbers 2 4 6 8 10 12（14 16) 18 20 （22 24 ）26 28 30 ............... 92 94 96 98 100 (1) What is the relationship between the four numbers in the box? (2) If the sum of four numbers is 200, can we find the four numbers? (3) if the sum of four numbers is 2004, can we find the four numbers?

1 22=14+8 24=16+8 14+2=16
2 x + X + 2 + X + 8 + X + 10 = 200, the solution is x = 45, there is no solution, so it can not be solved
3 x + X + 2 + X + 8 + X + 10 = 2004, the solution is x = 496, and the four numbers are 496 498 504 506

The number matrix in the right table is composed of 50 even numbers. 1 if the sum of four numbers is 172, can we find the number? If the sum of four numbers is 322, can we find the four numbers
2 4 6 8 10
12 14 16 18 20
22 24 26 28 30
…………
92 94 96 98 100

1.172=M+2+M+（2+2）+M+（2+2+2）+M+（2+2+2+2）=4M+20
4M=152
M=38 M+2=40 M+（2+2）=42 M+（2+2+2）=44
2. The method is the same as above