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4 6 10 12 = 24: 4 solutions

Difficulty: HardOpen in Solver

10 + 12 − (4 − 6) = 24

  1. 10 + 12 = 22
  2. 4 − 6 = -2
  3. 22 − -2 = 24

4 solutions

  • 12 ÷ (4 ÷ 10) − 6 = 24Steps
    1. 4 ÷ 10 = 2/5
    2. 12 ÷ 2/5 = 30
    3. 30 − 6 = 24
  • 4 + 12 ÷ (6 ÷ 10) = 24Steps
    1. 6 ÷ 10 = 3/5
    2. 12 ÷ 3/5 = 20
    3. 4 + 20 = 24
  • 6 × (10 − 4) − 12 = 24Steps
    1. 10 − 4 = 6
    2. 6 × 6 = 36
    3. 36 − 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 4 6 10 12 make 24?

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

How many solutions does 4 6 10 12 have?

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

How difficult is 4 6 10 12?

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).