Split #25 — the solution

The three rounds from October 24, 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, 15, 11, 1, 3, 13, 17, 10, 12, 16, 20, 2. 3 decoys.

The groups: 8 + 11 + 13, 15 + 1 + 16, 3 + 17 + 12, 10 + 20 + 2.

The decoys — triples that add to 32 but are not in the answer: 11 + 1 + 20; 3 + 13 + 16; 13 + 17 + 2.

Where to start: 8, 15, 10 and 12 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 31

The numbers: 19, 10, 17, 1, 16, 9, 2, 12, 3, 15, 14, 6. 5 decoys.

The groups: 19 + 9 + 3, 10 + 15 + 6, 17 + 2 + 12, 1 + 16 + 14.

The decoys — triples that add to 31 but are not in the answer: 19 + 10 + 2; 10 + 9 + 12; 16 + 9 + 6; 16 + 12 + 3; 2 + 15 + 14.

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

Round 3 — target 34

The numbers: 4, 17, 19, 13, 8, 20, 6, 18, 12, 3, 7, 9. 6 decoys.

The groups: 4 + 17 + 13, 19 + 12 + 3, 8 + 20 + 6, 18 + 7 + 9.

The decoys — triples that add to 34 but are not in the answer: 4 + 18 + 12; 17 + 8 + 9; 19 + 8 + 7; 19 + 6 + 9; 13 + 18 + 3; 13 + 12 + 9.

Where to start: 20 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.