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2 3 7 9 = 24: 4 solutions

Difficulty: EasyOpen in Solver

9 − 3 × (2 − 7) = 24

  1. 2 − 7 = -5
  2. 3 × -5 = -15
  3. 9 − -15 = 24

4 solutions

  • 2 × (3 × 7 − 9) = 24Steps
    1. 3 × 7 = 21
    2. 21 − 9 = 12
    3. 2 × 12 = 24
  • 9 + 3 × (7 − 2) = 24Steps
    1. 7 − 2 = 5
    2. 3 × 5 = 15
    3. 9 + 15 = 24
  • (7 + 9) ÷ (2 ÷ 3) = 24Steps
    1. 7 + 9 = 16
    2. 2 ÷ 3 = 2/3
    3. 16 ÷ 2/3 = 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 2 3 7 9 make 24?

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

How many solutions does 2 3 7 9 have?

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

How difficult is 2 3 7 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).