The ratio of the number of people in the technology group to the composition group is 9:10, and the ratio of the number of people in the composition group to the math group is 5:7. It is known that there are 69 people in the math group and the technology group. How many more people are in the math group than the technology group?
科技组与作文组人数的比是9：10，作文组与数学组人数的比是5：7，已知数学组和科技组共有的69人，数学组比科技组多多少人？
<gadget id="calculator">10 / 9</gadget>
<output>10/9 = around 1.111111</output>

<gadget id="calculator">7 / 5</gadget>
<output>7/5 = around 1.4</output>

<gadget id="calculator">(10/9) * (7/5)</gadget>
<output>14/9 = around 1.555556</output>

<gadget id="calculator">1 + (14/9)</gadget>
<output>23/9 = around 2.555556</output>

<gadget id="calculator">69 / (23/9)</gadget>
<output>27</output>

<gadget id="calculator">69 - 27 - 27</gadget>
<output>15</output>

<result>15</result>