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2 4 9 13 = 24: 4 solutions

Difficulty: HardOpen in Solver

4 ÷ 2 + 9 + 13 = 24

  1. 4 ÷ 2 = 2
  2. 9 + 13 = 22
  3. 2 + 22 = 24

4 solutions

  • 9 + 13 − (2 − 4) = 24Steps
    1. 9 + 13 = 22
    2. 2 − 4 = -2
    3. 22 − -2 = 24
  • 4 × (13 + 2 − 9) = 24Steps
    1. 2 − 9 = -7
    2. 13 + -7 = 6
    3. 4 × 6 = 24
  • (2 + 4) × (13 − 9) = 24Steps
    1. 2 + 4 = 6
    2. 13 − 9 = 4
    3. 6 × 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 2 4 9 13 make 24?

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

How many solutions does 2 4 9 13 have?

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

How difficult is 2 4 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).