(This post is part of the Genuinely Approachable Sudoku (GAS) series.)
One more thematic Difference/Ratio Pairs puzzle, this time with added Killer cages … aka Sum Pairs?

PDF

or solve online (using SudokuPad)

Theme: Fourcing a Theme

Author/Opus: This is the 92nd puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (GAS) team.

Rules: Standard Sudoku rules (insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region). If a white circle is given between two adjacent cells, then the two numbers must have a difference equal to the given number. If a black circle is given between two adjacent cells, then the two numbers must have a ratio equal to the given number. Pairs of cells without circles can have any relationship. Also, the sum of the numbers in each cage must equal the value given in the upper-left corner of that cage.

GAS Time Standards (highlight to view): Two party hats (🎩🥳): 5:44; One party hat (🥳): 11:44. All other solvers earn a 🦕: IVth-generation Iuticosaurus.

Thomas Hits the GAS (highlight to view): 2:45, with SudokuPad replay file shared as a download for now (requires loading via settings menu with improvements expected before people should use this regularly).

Solution: PDF; solving video with explanation to be added later from GAS team.

Note: Follow this link for other less common variations of Sudoku and this link for Killer Sudoku. More Killer Sudoku puzzles can be found in Killer Sudoku by Serkan Yürekli;

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Daily GAS discussion post on the GMPuzzles Discord. Not a member of the Discord? Click this link for basic access.