In the entrance examination of a certain school, (1/3) of the students who applied for the examination were admitted. The average score of the admitted students was 6 points higher than the admission score line, and the average score of the students who were not admitted was 24 points lower than the admission score line. The average score of all candidates is 60 points, so what is the admission score?
某校入学考试，报考的学生中有(1/3)被录取，录取者平均分比录取分数线高6分，没被录取的学生的平均分比录取分数线低24分，所有考生的平均成绩是60分，那么录取分数线是多少分？
<gadget id="calculator">24 * 2</gadget>
<output>48</output>

<gadget id="calculator">6 * 1</gadget>
<output>6</output>

<gadget id="calculator">48 - 6</gadget>
<output>42</output>

<gadget id="calculator">1 + 2</gadget>
<output>3</output>

<gadget id="calculator">42 / 3</gadget>
<output>14</output>

<gadget id="calculator">60 + 14</gadget>
<output>74</output>

<result>74</result>