The ratio of the two is 1:7, so after eight silver coins are distributed in proportion, the first person gets 1 and the second person gets 7.

2. Solve with arithmetic progression's thought:

The length of a day 1 plus the length of the 30th day is 5+ 1=6 feet;

The length of the second day plus the length of the 29th day is 5+ 1=6 feet;

The length of day 3 plus the length of day 28 is 5+ 1=6 feet;

……

……

The length of 15 plus the length of 16 is 5+ 1=6 feet.

So (5+ 1)*(30/2)=90 feet.

According to the meaning of the question, the sum of the speeds of two ants is 600/ 15 = 40m per minute.

After the speed is increased by 5, the speed sum is 40+5*2= 50m per minute;

So you need to speed up and meet at 600/50= 12.

So let the speed of armor be x, and get the equation:

15x = 12 *(x+5)+ 15

15x = 12x+60+ 15

3x=75

x=25

So A needs 600/25=24 points from A to B. 。

4. If the smallest number in the box is X, then the number 6 has the following situations:

x、x+ 1、x+2、x+7、x+8、x+ 14；

x、x+ 1、x+2、x+8、x+9、x+ 16；

x、x+7、x+8、x+ 14、x+ 15、x+ 16；

x、x+6、x+7、x+ 12、x+ 13、x+ 14。

They are:

X+x+1+x+2+x+7+x+8+x+14 =1996, where x is a decimal and does not match;

X+x+1+x+2+x+8+x+9+x+16 =1996, where x is a decimal and does not match;

X+x+7+x+8+x+14+x+15+x+16 =1996, where x is a decimal and does not match;

x+x+6+x+7+x+ 12+x+ 13+x+ 14 = 1996，x=324。

So these six numbers are 324, 330, 33 1, 336, 337, 338 respectively.