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3 8 9 10 = 24: 4 solutions

Difficulty: HardOpen in Solver

9 + 10 − (3 − 8) = 24

  1. 9 + 10 = 19
  2. 3 − 8 = -5
  3. 19 − -5 = 24

4 solutions

  • 3 × 8 × (10 − 9) = 24Steps
    1. 3 × 8 = 24
    2. 10 − 9 = 1
    3. 24 × 1 = 24
  • 3 × 8 ÷ (10 − 9) = 24Steps
    1. 3 × 8 = 24
    2. 10 − 9 = 1
    3. 24 ÷ 1 = 24
  • (3 + 9) × (10 − 8) = 24Steps
    1. 3 + 9 = 12
    2. 10 − 8 = 2
    3. 12 × 2 = 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 8 9 10 make 24?

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

How many solutions does 3 8 9 10 have?

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

How difficult is 3 8 9 10?

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).