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3 5 7 9 = 24: 4 solutions

Difficulty: EasyOpen in Solver

3 + 5 + 7 + 9 = 24

  1. 3 + 5 = 8
  2. 7 + 9 = 16
  3. 8 + 16 = 24

4 solutions

  • 5 × 9 − 3 × 7 = 24Steps
    1. 5 × 9 = 45
    2. 3 × 7 = 21
    3. 45 − 21 = 24
  • 9 × (5 − 7 ÷ 3) = 24Steps
    1. 7 ÷ 3 = 7/3
    2. 5 − 7/3 = 8/3
    3. 9 × 8/3 = 24
  • (3 + 9) × (7 − 5) = 24Steps
    1. 3 + 9 = 12
    2. 7 − 5 = 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 5 7 9 make 24?

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

How many solutions does 3 5 7 9 have?

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

How difficult is 3 5 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).