Variants of one include Hepu, Yulin, and Boluo, and, of the other Erlianhaote, Guilin, and Jiamusi.  
The "new situation" particle is "le" in one and "ts" or "l" followed by a turned "c" in the other.  Their similar-sounding subordinating particles "ke" and "te" are historically independent.  Variants of one include Hepu, Yulin, and Boluo, and, of the other Erlianhaote, Guilin, and Jiamusi.  One, the most common example of the Yueh group, has only "w" as an available medial semivowel.  That is the older, less common of the two, which also has twice as many syllabic roots and is further distinguishable by the allowability of final consonants and a range of six tones versus four in the other, although the more recent one is the basis for the Modern Standard version of the language.   FTP, name these two popularly taught Chinese languages.
The "new situation" particle is "le" in one and "ts" or "l" followed by a turned "c" in the other.  
Cantonese (or Y?eh before it is mentioned) and Mandarin (or Kuan-hua or Guanhua or Putonghua; prompt on Modern Standard Chinese before it is mentioned)