Split #19 — the solution

The three rounds from October 18, 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: 9, 1, 4, 10, 3, 14, 18, 11, 20, 13, 6, 7. 3 decoys.

The groups: 9 + 13 + 7, 1 + 10 + 18, 4 + 14 + 11, 3 + 20 + 6.

The decoys — triples that add to 29 but are not in the answer: 9 + 14 + 6; 4 + 18 + 7; 10 + 13 + 6.

Where to start: 1, 3, 11 and 20 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 30

The numbers: 13, 19, 5, 4, 2, 1, 7, 14, 11, 15, 20, 9. 4 decoys.

The groups: 13 + 2 + 15, 19 + 4 + 7, 5 + 14 + 11, 1 + 20 + 9.

The decoys — triples that add to 30 but are not in the answer: 19 + 2 + 9; 4 + 11 + 15; 1 + 14 + 15; 7 + 14 + 9.

Where to start: 13, 5 and 20 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 35

The numbers: 3, 17, 14, 6, 10, 20, 19, 5, 15, 11, 12, 8. 6 decoys.

The groups: 3 + 20 + 12, 17 + 10 + 8, 14 + 6 + 15, 19 + 5 + 11.

The decoys — triples that add to 35 but are not in the answer: 3 + 17 + 15; 17 + 6 + 12; 14 + 10 + 11; 6 + 10 + 19; 10 + 20 + 5; 15 + 12 + 8.

Where to start: No number is forced outright; 20 (2 ways), 19 (2 ways) and 14 (2 ways) have the fewest ways to reach 35, so start with those.

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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.