Split #14 — the solution

The three rounds from October 13, 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 32

The numbers: 8, 16, 2, 15, 11, 17, 7, 19, 20, 9, 3, 1. 3 decoys.

The groups: 8 + 17 + 7, 16 + 15 + 1, 2 + 11 + 19, 20 + 9 + 3.

The decoys — triples that add to 32 but are not in the answer: 8 + 15 + 9; 16 + 7 + 9; 11 + 20 + 1.

Where to start: 2, 17, 19 and 3 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 31

The numbers: 19, 8, 3, 4, 10, 12, 13, 16, 5, 18, 15, 1. 5 decoys.

The groups: 19 + 8 + 4, 3 + 13 + 15, 10 + 16 + 5, 12 + 18 + 1.

The decoys — triples that add to 31 but are not in the answer: 8 + 10 + 13; 8 + 5 + 18; 3 + 10 + 18; 3 + 12 + 16; 4 + 12 + 15.

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

Round 3 — target 39

The numbers: 8, 20, 17, 4, 2, 12, 14, 11, 16, 18, 15, 19. 6 decoys.

The groups: 8 + 17 + 14, 20 + 4 + 15, 2 + 18 + 19, 12 + 11 + 16.

The decoys — triples that add to 39 but are not in the answer: 8 + 20 + 11; 8 + 12 + 19; 8 + 16 + 15; 20 + 17 + 2; 17 + 4 + 18; 4 + 16 + 19.

Where to start: 14 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.