Split #23 — the solution

The three rounds from October 22, 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 29

The numbers: 20, 10, 2, 4, 8, 6, 17, 3, 14, 19, 1, 12. 3 decoys.

The groups: 20 + 8 + 1, 10 + 2 + 17, 4 + 6 + 19, 3 + 14 + 12.

The decoys — triples that add to 29 but are not in the answer: 20 + 6 + 3; 2 + 8 + 19; 4 + 8 + 17.

Where to start: 10, 14, 1 and 12 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 35

The numbers: 16, 19, 2, 14, 17, 13, 3, 20, 1, 11, 18, 6. 5 decoys.

The groups: 16 + 2 + 17, 19 + 13 + 3, 14 + 20 + 1, 11 + 18 + 6.

The decoys — triples that add to 35 but are not in the answer: 16 + 13 + 6; 16 + 1 + 18; 19 + 2 + 14; 2 + 13 + 20; 14 + 3 + 18.

Where to start: 17 and 11 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 30

The numbers: 13, 5, 2, 4, 17, 12, 14, 16, 18, 7, 1, 11. 6 decoys.

The groups: 13 + 16 + 1, 5 + 18 + 7, 2 + 17 + 11, 4 + 12 + 14.

The decoys — triples that add to 30 but are not in the answer: 13 + 5 + 12; 5 + 14 + 11; 2 + 12 + 16; 17 + 12 + 1; 12 + 7 + 11; 18 + 1 + 11.

Where to start: 4 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.