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6 6 8 9 = 24: 3 solutions

Difficulty: EasyOpen in Solver

8 × (6 + 6 − 9) = 24

  1. 6 + 6 = 12
  2. 12 − 9 = 3
  3. 8 × 3 = 24

3 solutions

  • 6 − 9 × (6 − 8) = 24Steps
    1. 6 − 8 = -2
    2. 9 × -2 = -18
    3. 6 − -18 = 24
  • 6 + 9 × (8 − 6) = 24Steps
    1. 8 − 6 = 2
    2. 9 × 2 = 18
    3. 6 + 18 = 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.

FAQ

Can 6 6 8 9 make 24?

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

How many solutions does 6 6 8 9 have?

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

How difficult is 6 6 8 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).