There are two ropes, the longer one is 10 meters. After the two ropes are cut to the same length, the length ratio of the remaining part is 2:1. The two ropes are cut again to the same length as last time, and the length ratio of the remaining part is 3:1. Question: How many meters was the shorter rope originally?
有两根绳子，较长的一根为10米．两根绳子都剪掉同样的长度后，剩下部分的长度比为2：1，两根绳子再次剪掉与上次剪掉的同样长度，剩下部分的长度比为3：1．问：较短的那根绳子原来长多少米？
<gadget id="calculator">3 * 20</gadget>
<output>60</output>

<gadget id="calculator">60 - 10 - 20</gadget>
<output>30</output>

<gadget id="calculator">3 * 4</gadget>
<output>12</output>

<gadget id="calculator">12 - 4 - 3</gadget>
<output>5</output>

<gadget id="calculator">30 / 5</gadget>
<output>6</output>

<result>6</result>