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3 4 4 9 = 24: 4 solutions

Difficulty: EasyOpen in Solver

4 × 9 − 3 × 4 = 24

  1. 4 × 9 = 36
  2. 3 × 4 = 12
  3. 36 − 12 = 24

4 solutions

  • 9 × (4 − 4 ÷ 3) = 24Steps
    1. 4 ÷ 3 = 4/3
    2. 4 − 4/3 = 8/3
    3. 9 × 8/3 = 24
  • 3 × (9 − 4 ÷ 4) = 24Steps
    1. 4 ÷ 4 = 1
    2. 9 − 1 = 8
    3. 3 × 8 = 24
  • (4 + 4) ÷ (3 ÷ 9) = 24Steps
    1. 4 + 4 = 8
    2. 3 ÷ 9 = 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.

FAQ

Can 3 4 4 9 make 24?

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

How many solutions does 3 4 4 9 have?

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

How difficult is 3 4 4 9?

It is rated “Easy” 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).