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6 7 8 10 = 24: 4 solutions

Difficulty: HardOpen in Solver

8 × (6 + 7 − 10) = 24

  1. 6 + 7 = 13
  2. 13 − 10 = 3
  3. 8 × 3 = 24

4 solutions

  • 6 × 7 − (8 + 10) = 24Steps
    1. 6 × 7 = 42
    2. 8 + 10 = 18
    3. 42 − 18 = 24
  • 10 − 7 × (6 − 8) = 24Steps
    1. 6 − 8 = -2
    2. 7 × -2 = -14
    3. 10 − -14 = 24
  • 10 + 7 × (8 − 6) = 24Steps
    1. 8 − 6 = 2
    2. 7 × 2 = 14
    3. 10 + 14 = 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 6 7 8 10 make 24?

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

How many solutions does 6 7 8 10 have?

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

How difficult is 6 7 8 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).