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2 7 9 10 = 24: 3 solutions

Difficulty: HardOpen in Solver

9 + 10 − (2 − 7) = 24

  1. 9 + 10 = 19
  2. 2 − 7 = -5
  3. 19 − -5 = 24

3 solutions

  • (2 + 10) × (9 − 7) = 24Steps
    1. 2 + 10 = 12
    2. 9 − 7 = 2
    3. 12 × 2 = 24
  • 2 × (10 − (7 − 9)) = 24Steps
    1. 7 − 9 = -2
    2. 10 − -2 = 12
    3. 2 × 12 = 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 7 9 10 make 24?

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

How many solutions does 2 7 9 10 have?

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

How difficult is 2 7 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).