Assuming that the original average scores of the first prize, the second prize and the third prize are x, y, z Y and z respectively, the adjusted average scores of the first prize, the second prize and the third prize are X-3, Y-2 and Z- 1 respectively.
According to the topic, we know that y=z+7.
According to the total score of the top 60 unchanged, we get:
5x+ 15y+40z = 10(x-3)+20(y-2)+30(z- 1)
Upon completion, you will receive:
x+y=20+2z
Replace z with z=y-7.
There is x=y+6.
The adjusted first prize and second prize are X-3 and Y-2 respectively.
Then it is (x-3)-(y-2) = x-y-1= y+6-y-1= 5.
The final answer is 5.