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Final answer, four solutions:
10,12,14,16,85,87,89 sum= 313
80,82,84,86,15,17,19 sum= 383
56,57,58,59,40,41,42 sum= 353
46,47,48,49,50,51,52 sum= 343
though this last one is one long sequence so, depending on the definition of "two sequences" it may or may not qualify.
For an explanation, refer to the solution submitted by Larry in this location.
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