merge two file sources and import into single/multiple db table

Hi Friends,

    i have a task and as a newbie to SSIS i dont kow the best way to solve it, hence seeking your help here.

    i have two csv files both have a same column call it as ColumnA.

          FileA                                FileB

  ColA|Col2|Col3|Col4            ColA|Col5|Col6

                  MyTable

    ColA|Col2|Col3|Col4|Col5|Col6

    I have a table called MyTable as shown above, the feed from both the flat files are related by one column  ColumnA

    The rows in the files are not sorted and both are big files, may have millions of records.

    so using SSIS how can i do this? i am looking for the best optimal solution.

 Many Thanks.