SO fiddle
Test Fiddle mainly for SO Questions
by Nick Craver
HTML
<link rel="stylesheet" href="http://ajax.googleapis.com/ajax/libs/jqueryui/1.8/themes/dot-luv/jquery-ui.css">
<table id="ctl00_ContentPlaceHolder1_ctl02_rblDependants" border="0" style="border-width:0px;">
<tr>
<td><input id="ctl00_ContentPlaceHolder1_ctl02_rblDependants_0" type="radio" name="ctl00$ContentPlaceHolder1$ctl02$rblDependants" value="Yes" /><label for="ctl00_ContentPlaceHolder1_ctl02_rblDependants_0">Yes</label></td>
</tr><tr>
<td><input id="ctl00_ContentPlaceHolder1_ctl02_rblDependants_1" type="radio" name="ctl00$ContentPlaceHolder1$ctl02$rblDependants" value="No" checked="checked" /><label for="ctl00_ContentPlaceHolder1_ctl02_rblDependants_1">No</label></td>
</tr>
</table>
<div id="ctl00_ContentPlaceHolder1_ctl02_pnlDependants">
<div class="QuestionWrapper">
<div class="Question">
<label for="">No. of Dependants</label>
</div>
<div class="Answer">
<input name="ctl00$ContentPlaceHolder1$ctl02$txtNoOfDependants" type="text" maxlength="2" id="ctl00_ContentPlaceHolder1_ctl02_txtNoOfDependants" />
</div>
<div class="ClearFloat"></div>
</div>
</div>
JavaScript
$("table[id$=_rblDependants] :radio").change(function() {
$(this).closest('table').next().toggle(this.checked && this.value == 'Yes');
}).change();