Five referees give scores to the contestants participating in the singing competition. If the highest score and the lowest score are removed, the average score is 9.6 points. If only the lowest score is removed, the average score is 9.69 points. What is the highest score?
5名裁判给参加歌唱比赛的选手打分，如果去掉一个最高分和一个最低分，平均得分是9.6分，如果只去掉一个最低分，平均得分是9.69分，最高分是多少分．
<gadget id="calculator">9.69 * 4</gadget>
<output>38.76</output>

<gadget id="calculator">9.6 * 3</gadget>
<output>28.8</output>

<gadget id="calculator">38.76 - 28.8</gadget>
<output>9.96</output>

<result>9.96</result>