Split #35 — the solution

The three rounds from November 3, 2026: twelve numbers each, split into four groups of three that add to the target — the one way each round allows, with its decoys and where the reasoning starts.

Round 1 — target 30

The numbers: 18, 4, 10, 14, 8, 9, 15, 1, 16, 2, 3, 20. 3 decoys.

The groups: 18 + 9 + 3, 4 + 10 + 16, 14 + 15 + 1, 8 + 2 + 20.

The decoys — triples that add to 30 but are not in the answer: 18 + 4 + 8; 18 + 10 + 2; 9 + 1 + 20.

Where to start: 14, 15, 16 and 3 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 28

The numbers: 7, 13, 16, 9, 4, 10, 6, 2, 14, 1, 18, 12. 5 decoys.

The groups: 7 + 9 + 12, 13 + 14 + 1, 16 + 10 + 2, 4 + 6 + 18.

The decoys — triples that add to 28 but are not in the answer: 13 + 9 + 6; 9 + 1 + 18; 4 + 10 + 14; 10 + 6 + 12; 2 + 14 + 12.

Where to start: 7 and 16 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 28

The numbers: 1, 20, 14, 2, 12, 8, 13, 6, 3, 11, 5, 17. 6 decoys.

The groups: 1 + 14 + 13, 20 + 2 + 6, 12 + 11 + 5, 8 + 3 + 17.

The decoys — triples that add to 28 but are not in the answer: 20 + 3 + 5; 14 + 2 + 12; 14 + 8 + 6; 14 + 3 + 11; 12 + 13 + 3; 6 + 5 + 17.

Where to start: 1 sits in only one on-target triple, so its group is certain — start there.

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About Split

Split is Noggin’s number puzzle, on the second shelf: twelve numbers into four groups of three, three rounds a day, outside the daily line-up. How to play Split, or play today’s.