Split #45 — the solution

The three rounds from November 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: 3, 1, 18, 9, 20, 15, 12, 10, 14, 2, 7, 17. 3 decoys.

The groups: 3 + 9 + 20, 1 + 14 + 17, 18 + 12 + 2, 15 + 10 + 7.

The decoys — triples that add to 32 but are not in the answer: 3 + 15 + 14; 3 + 12 + 17; 20 + 10 + 2.

Where to start: 1, 18, 9 and 7 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 26

The numbers: 6, 1, 2, 20, 4, 3, 10, 19, 9, 8, 7, 15. 4 decoys.

The groups: 6 + 1 + 19, 2 + 20 + 4, 3 + 8 + 15, 10 + 9 + 7.

The decoys — triples that add to 26 but are not in the answer: 1 + 10 + 15; 2 + 9 + 15; 4 + 3 + 19; 4 + 7 + 15.

Where to start: 6, 20 and 8 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 30

The numbers: 18, 4, 2, 11, 7, 10, 6, 16, 17, 14, 3, 12. 6 decoys.

The groups: 18 + 2 + 10, 4 + 14 + 12, 11 + 16 + 3, 7 + 6 + 17.

The decoys — triples that add to 30 but are not in the answer: 4 + 10 + 16; 2 + 11 + 17; 2 + 16 + 12; 11 + 7 + 12; 10 + 6 + 14; 10 + 17 + 3.

Where to start: 18 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.