Skip to main content
24Point

Browse all solutions

4 7 9 10 = 24: 4 solutions

Difficulty: HardOpen in Solver

4 × 10 − (7 + 9) = 24

  1. 4 × 10 = 40
  2. 7 + 9 = 16
  3. 40 − 16 = 24

4 solutions

  • 4 × (7 + 9 − 10) = 24Steps
    1. 7 + 9 = 16
    2. 16 − 10 = 6
    3. 4 × 6 = 24
  • 4 − 10 × (7 − 9) = 24Steps
    1. 7 − 9 = -2
    2. 10 × -2 = -20
    3. 4 − -20 = 24
  • 4 + 10 × (9 − 7) = 24Steps
    1. 9 − 7 = 2
    2. 10 × 2 = 20
    3. 4 + 20 = 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 4 7 9 10 make 24?

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

How many solutions does 4 7 9 10 have?

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

How difficult is 4 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).