Skip to main content
24Point

Browse all solutions

3 4 11 12 = 24: 3 solutions

Difficulty: HardOpen in Solver

11 + 12 − (3 − 4) = 24

  1. 11 + 12 = 23
  2. 3 − 4 = -1
  3. 23 − -1 = 24

3 solutions

  • 3 × (11 − 12 ÷ 4) = 24Steps
    1. 12 ÷ 4 = 3
    2. 11 − 3 = 8
    3. 3 × 8 = 24
  • (11 − 3) ÷ (4 ÷ 12) = 24Steps
    1. 11 − 3 = 8
    2. 4 ÷ 12 = 1/3
    3. 8 ÷ 1/3 = 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 3 4 11 12 make 24?

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

How many solutions does 3 4 11 12 have?

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

How difficult is 3 4 11 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).