If these four people are adjusted to the second prize, the average score of the second prize will increase by 1 point, which means that 24 points of the total score of these four people will be allocated to the average score of the 24 original second prizes, so that the average score of the 24 second prizes is higher than the average score of the original second prize by 1 point, which means that the average score of these four people is 24 points higher than the average score of the original second prize.

Similarly, when these four people were adjusted to the second prize, the first prizes of the top six people were increased by 3 points, and these six people were evenly distributed to these four people with 3× 6 = 18 points, making the average score of these four people become the average score of the original first prize. It can be seen that the average score of these four people is lower than the original first prize 18.

Therefore, the average score of the first prize is 4.5+6 = 10.5 points higher than that of the second prize.

A: The score is 10.5.