the number of quarts of berries Charlie picked is C
the number of quarts of berries Noel picked is N
since they picked a total of 92 quarts, C+N=92
Since Charlie picked 6 more quarts than Noel, C-N=6
add the 2 equations
C+N+C-N=2C=98
C=49
N=92-49=43
Noel picked 43 quarts.