The first puzzle is one that I'd call a "sum" puzzle. Here are the official rules:
- The digits 1 through 9 appear in each row and each column exactly once.
- Digits in each shaded region must add to the indicated sum.
- Squares with multiple colors contain a number that’s used in the sum for adjacent regions of each of those colors.
- Several initial clues have been given in larger font.
- Remember: numbers can repeat within a shaded region if that doesn't violate the first rule.