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2 4 9 12 = 24: 5 solutions

Difficulty: HardOpen in Solver

2 × 4 × (12 − 9) = 24

  1. 2 × 4 = 8
  2. 12 − 9 = 3
  3. 8 × 3 = 24

5 solutions

  • 4 × (2 × 9 − 12) = 24Steps
    1. 2 × 9 = 18
    2. 18 − 12 = 6
    3. 4 × 6 = 24
  • (12 + 4 × 9) ÷ 2 = 24Steps
    1. 4 × 9 = 36
    2. 12 + 36 = 48
    3. 48 ÷ 2 = 24
  • 12 ÷ (9 ÷ 2 − 4) = 24Steps
    1. 9 ÷ 2 = 9/2
    2. 9/2 − 4 = 1/2
    3. 12 ÷ 1/2 = 24
  • 2 × (9 + 12 ÷ 4) = 24Steps
    1. 12 ÷ 4 = 3
    2. 9 + 3 = 12
    3. 2 × 12 = 24

Solving hints

  • Build a factor pair: split the four numbers into two groups and try to make a factor pair of 24 — 3 × 8, 4 × 6, or 12 × 2 — then multiply the two groups.

  • No factor pair divides cleanly? Switch to sums: make two numbers add up to 24, or try shapes like (a ± b) × (c ± d) and (a + b + c) × d.

Related hands

FAQ

Can 2 4 9 12 make 24?

Yes. Every one of them is listed above with step-by-step working.

How many solutions does 2 4 9 12 have?

5 — the list above is exhaustive, so every mathematically distinct way to combine the numbers is shown.

How difficult is 2 4 9 12?

It is rated “Hard” on our four-tier scale, based on whether whole-number intermediate steps suffice, how many distinct solutions exist, and whether the hand includes a two-digit card (10–13).