【Question 6】
A school admits students with artistic talents, and based on the entrance examination scores, it determines the admission score line, admitting $\frac{2}{5}$ of the candidates. The average score of all admitted students is 15 points higher than the admission score line, and the average score of the candidates who were not admitted is 20 points lower than the admission score line. If the average score of all candidates is 90 points, then the admission score line is $\qquad$ points.
【Analysis and Solution】
Let the admission score line be $x$ points;
$$
(x+15) \times \frac{2}{5}+(x-20) \times\left(1-\frac{2}{5}\right)=90 \text{; }
$$

Solving for $x$ gives $x=96$;
The admission score line is 96 points.