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3 4 9 9 = 24: 5 solutions

Difficulty: EasyOpen in Solver

4 × 9 − (3 + 9) = 24

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

5 solutions

  • 9 − 3 × (4 − 9) = 24Steps
    1. 4 − 9 = -5
    2. 3 × -5 = -15
    3. 9 − -15 = 24
  • 4 × (9 − 9 ÷ 3) = 24Steps
    1. 9 ÷ 3 = 3
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • 9 + 3 × (9 − 4) = 24Steps
    1. 9 − 4 = 5
    2. 3 × 5 = 15
    3. 9 + 15 = 24
  • (9 + 9) ÷ (3 ÷ 4) = 24Steps
    1. 9 + 9 = 18
    2. 3 ÷ 4 = 3/4
    3. 18 ÷ 3/4 = 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 3 4 9 9 make 24?

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

How many solutions does 3 4 9 9 have?

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

How difficult is 3 4 9 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).