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5 7 11 11 = 24: 3 solutions

Difficulty: HardOpen in Solver

11 + 11 − (5 − 7) = 24

  1. 11 + 11 = 22
  2. 5 − 7 = -2
  3. 22 − -2 = 24

3 solutions

  • (5 − 11) × (7 − 11) = 24Steps
    1. 5 − 11 = -6
    2. 7 − 11 = -4
    3. -6 × -4 = 24
  • (11 − 5) × (11 − 7) = 24Steps
    1. 11 − 5 = 6
    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.

Related hands

FAQ

Can 5 7 11 11 make 24?

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

How many solutions does 5 7 11 11 have?

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

How difficult is 5 7 11 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).