Multiple xml file summation

Hi all,
 
    I have found messages in the archive that come close to what I need,
but I haven't found the answer, so I would like to pose the following
question.  I would like to sum numbers from multiple xml input files,
while not knowing in advance how many files there will be or their
names.  They are contain in another xml file:
 
<----- filelist.xml ------->
<filenames>
  <filename>multiplefiletest1.xml</filename>
  <filename>multiplefiletest2.xml</filename>
  <filename>multiplefiletest3.xml</filename>
</filenames>
 
<----- multiplefiletest1.xml ------->
<element1>
  <element2 name="file1" number="1"/>
</element1>
 
<----- multiplefiletest2.xml ------->
<element1>
  <element2 name="file2" number="2"/>
</element1>
 
<----- multiplefiletest3.xml ------->
<element1>
  <element2 name="file3" number="3"/>
</element1>
 
 
My stylesheet is processing filelist.xml, and I can cycle through each
file listed easy enough:

<xsl:template match="/">
  <xsl:for-each select="filenames/filename">
    File name: <xsl:value-of select="."/>
    <xsl:variable name="newFile" select="document(.)"/>
    Name attribute inside file: <xsl:value-of
select="$newFile/element1/element2/@name"/>
    Number attribute inside file: <xsl:value-of
select="$newFile/element1/element2/@number"/>
    <xsl:text>
    </xsl:text>
  </xsl:for-each>
    Total of number attributes: ??????????????????
</xsl:template>


<------ output ---------->
    File name: multiplefiletest1.xml
    Name attribute inside file: file1
    Number attribute inside file: 1
    
    File name: multiplefiletest2.xml
    Name attribute inside file: file2
    Number attribute inside file: 2
    
    File name: multiplefiletest3.xml
    Name attribute inside file: file3
    Number attribute inside file: 3
    
    Total of number attributes: <-----Want "6" here---->

But coming up with a total for the number attributes is eluding me.  Is
this a two step process, going through and writing an xml file with all
nodes in it, then transforming that to get the total?  It seems like
there should be a way to do this in one pass using sum(), as all the
values are right there.  Hopefully, I'm just missing something simple...

Any help is much appreciated.
Tom Mitchell


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