There are two interest groups in a certain school. Now they need to be reorganized into three interest groups. The original group (1/2) and the original second group (1/3) form a new group, and the original group (1/3) form a new group. /3) Form a new second group with (1/2) of the original second group, and the remaining 42 people form a new third group. If the number of people in the new group is 10% more than that of the new second group, how many people are there in the new second group?
某校有两个兴趣小组，现在要重新编为三个兴趣小组，将原一组的(1/2)与原二组的(1/3)组成新一组，将原一组的(1/3)与原二组的(1/2)组成新二组，剩余42人组成新三组，若新一组人数比新二组的人数多10%，问新二组有多少人？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/2) - (1/3)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">42 / (1/6)</gadget>
<output>252</output>

<gadget id="calculator">252 - 42</gadget>
<output>210</output>

<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 + (1/10) + 1</gadget>
<output>21/10 = around 2.1</output>

<gadget id="calculator">210 / (21/10)</gadget>
<output>100</output>

<result>100</result>