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2 6 9 11 = 24: 4 solutions

Difficulty: HardOpen in Solver

9 + 11 − (2 − 6) = 24

  1. 9 + 11 = 20
  2. 2 − 6 = -4
  3. 20 − -4 = 24

4 solutions

  • 2 × 6 × (11 − 9) = 24Steps
    1. 2 × 6 = 12
    2. 11 − 9 = 2
    3. 12 × 2 = 24
  • 11 ÷ (2 ÷ 6) − 9 = 24Steps
    1. 2 ÷ 6 = 1/3
    2. 11 ÷ 1/3 = 33
    3. 33 − 9 = 24
  • 6 × (11 + 2 − 9) = 24Steps
    1. 2 − 9 = -7
    2. 11 + -7 = 4
    3. 6 × 4 = 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.

FAQ

Can 2 6 9 11 make 24?

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

How many solutions does 2 6 9 11 have?

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

How difficult is 2 6 9 11?

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).