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3 8 9 13 = 24: 3 solutions

Difficulty: HardOpen in Solver

8 + 13 + 9 ÷ 3 = 24

  1. 8 + 13 = 21
  2. 9 ÷ 3 = 3
  3. 21 + 3 = 24

3 solutions

  • 9 − 3 × (8 − 13) = 24Steps
    1. 8 − 13 = -5
    2. 3 × -5 = -15
    3. 9 − -15 = 24
  • 9 + 3 × (13 − 8) = 24Steps
    1. 13 − 8 = 5
    2. 3 × 5 = 15
    3. 9 + 15 = 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 13 make 24?

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

How many solutions does 3 8 9 13 have?

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

How difficult is 3 8 9 13?

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).