Kyle, a video game programmer, is creating a role-playing game in which players can find treasure chests filled with gold or silver. Players receive 100 points for finding a treasure chest filled with gold and 35 points for finding a treasure chest filled with silver.

Kyle needs to put 165 treasure chests into the game, and the average treasure chest must be worth 74 points.

How many treasure chests should be filled with gold, and how many should be filled with silver?