Split #22 — the solution

The three rounds from October 21, 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 31

The numbers: 19, 6, 13, 14, 8, 12, 11, 20, 1, 15, 3, 2. 3 decoys.

The groups: 19 + 11 + 1, 6 + 13 + 12, 14 + 15 + 2, 8 + 20 + 3.

The decoys — triples that add to 31 but are not in the answer: 6 + 14 + 11; 13 + 15 + 3; 8 + 12 + 11.

Where to start: 19, 20, 1 and 2 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 30

The numbers: 3, 10, 11, 14, 6, 15, 4, 7, 12, 1, 18, 19. 5 decoys.

The groups: 3 + 15 + 12, 10 + 14 + 6, 11 + 1 + 18, 4 + 7 + 19.

The decoys — triples that add to 30 but are not in the answer: 10 + 1 + 19; 11 + 15 + 4; 11 + 7 + 12; 14 + 15 + 1; 14 + 4 + 12.

Where to start: 3, 6 and 18 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 33

The numbers: 8, 12, 18, 19, 17, 13, 4, 6, 15, 10, 3, 7. 6 decoys.

The groups: 8 + 18 + 7, 12 + 6 + 15, 19 + 4 + 10, 17 + 13 + 3.

The decoys — triples that add to 33 but are not in the answer: 8 + 12 + 13; 8 + 19 + 6; 8 + 15 + 10; 12 + 18 + 3; 12 + 17 + 4; 17 + 6 + 10.

Where to start: 7 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.