The average score of a certain class of statistical mathematics test is 86 points. Later, it was found that Naughty's score was 96 points, but it was wrongly counted as 69 points. After recalculation, the correct average time-sharing is 86.6 points. How many students are there in this class?
某班统计数学考试成绩，平均分是86分．后来发现淘气的成绩是96分，而被错误地统计为69分．重新计算后，正确的平均分时86.6分．这个班有多少名同学？
<gadget id="calculator">96 - 69</gadget>
<output>27</output>

<gadget id="calculator">86.6 - 86</gadget>
<output>0.6</output>

<gadget id="calculator">27 / 0.6</gadget>
<output>45</output>

<result>45</result>