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3 4 7 10 = 24: 4 solutions

Difficulty: HardOpen in Solver

3 + 4 + 7 + 10 = 24

  1. 3 + 4 = 7
  2. 7 + 10 = 17
  3. 7 + 17 = 24

4 solutions

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

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

How many solutions does 3 4 7 10 have?

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

How difficult is 3 4 7 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).