There are 14 more people in the music group than in the dance group. After transferring 4 people from the vocal group to the dance group, the ratio of the vocal group to the dance group is 13:10. How many people are there in the vocal group and the dance group?
音乐组数比舞蹈组人数多14人，后来从声乐组调4人到舞蹈组后，声乐组与舞蹈组人数的比为13：10，声乐组与舞蹈组共有多少人？
<gadget id="calculator">13 / 10</gadget>
<output>13/10 = around 1.3</output>

<gadget id="calculator">(13/10) * 4</gadget>
<output>26/5 = around 5.2</output>

<gadget id="calculator">14 - 4 - (26/5)</gadget>
<output>24/5 = around 4.8</output>

<gadget id="calculator">(13/10) - 1</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">(24/5) / (3/10)</gadget>
<output>16</output>

<gadget id="calculator">16 + 14 + 16</gadget>
<output>46</output>

<result>46</result>