Split #30 — the solution

The three rounds from October 29, 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: 15, 17, 19, 18, 1, 13, 2, 3, 14, 10, 7, 5. 3 decoys.

The groups: 15 + 2 + 14, 17 + 1 + 13, 19 + 7 + 5, 18 + 3 + 10.

The decoys — triples that add to 31 but are not in the answer: 15 + 13 + 3; 19 + 2 + 10; 14 + 10 + 7.

Where to start: 17, 18, 1 and 5 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 32

The numbers: 8, 6, 9, 19, 17, 13, 1, 14, 12, 2, 11, 16. 5 decoys.

The groups: 8 + 13 + 11, 6 + 9 + 17, 19 + 1 + 12, 14 + 2 + 16.

The decoys — triples that add to 32 but are not in the answer: 6 + 14 + 12; 9 + 12 + 11; 19 + 2 + 11; 17 + 13 + 2; 17 + 1 + 14.

Where to start: 8 and 16 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 32

The numbers: 18, 13, 16, 2, 20, 1, 9, 10, 17, 12, 3, 7. 6 decoys.

The groups: 18 + 13 + 1, 16 + 9 + 7, 2 + 20 + 10, 17 + 12 + 3.

The decoys — triples that add to 32 but are not in the answer: 18 + 2 + 12; 13 + 16 + 3; 13 + 2 + 17; 13 + 9 + 10; 13 + 12 + 7; 20 + 9 + 3.

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.