TomTom (Cage Pairs) by Dan Katz
or solve online (using our beta test of Penpa-Edit tools)
Theme: One-Two Punch
Author/Opus: This is the 16th puzzle from guest contributor Dan Katz.
Rules: Standard TomTom rules, using the integers 1-6. Additionally, no clue numbers are given for the cages, but clue numbers are given for adjacent pairs of cages. For each clue number, it must be possible to apply one operation to the digits in the first cage, a different operation to the digits in the second cage, and a third operation (different from the first two) to the two cage results to obtain the given clue number.
See also this example:
Difficulty: 4.5 stars
Time Standards (highlight to view): Grandmaster = 6:15, Master = 17:30, Expert = 35:00
Solution: PDF; a solution video is also available here.
Note: Follow this link for classic TomTom and this link for TomTom variations. If you are new to this puzzle type, here are our easiest TomTom to get started on. More TomTom puzzles can be found in the TomTom collection, in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.