burger fun / 24 Game Solver / Notable hands

Make 24 with 1, 7, 8, 9

The 24 Game hand 1, 7, 8, 9: use each digit exactly once with + - × ÷ and parentheses to reach exactly 24. 15 distinct solutions exist — difficulty easy (6 or more distinct solutions).

Solutions for 1, 7, 8, 9

  • 1 × 7 + 8 + 9 = 24
  • 1 × 8 + 7 + 9 = 24
  • 1 × 9 + 7 + 8 = 24
  • 7 + 8 + 9 ÷ 1 = 24
  • 7 + 8 ÷ 1 + 9 = 24
  • 7 ÷ 1 + 8 + 9 = 24
  • (1 + 9 - 7) × 8 = 24
  • (7 + 8 + 9) × 1 = 24
  • (7 + 8 + 9) ÷ 1 = 24
  • (7 + 8) × 1 + 9 = 24
  • (7 + 8) ÷ 1 + 9 = 24
  • (7 + 9) × 1 + 8 = 24
  • (7 + 9) ÷ 1 + 8 = 24
  • (8 + 9) × 1 + 7 = 24
  • (8 + 9) ÷ 1 + 7 = 24

Rearrangements like 8 × 3 vs 3 × 8 count as one solution — everything above is genuinely different, and every line is verified with exact fraction arithmetic.

Make 24 with 1, 2, 4, 8 · Make 24 with 1, 1, 1, 1

Browse the hardest 24 game puzzles, drill hands like this in practice mode, or solve any hand with the 24 game solver.

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.