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4 6 7 10 = 24: 5 solutions

Difficulty: HardOpen in Solver

4 × 7 + 6 − 10 = 24

  1. 4 × 7 = 28
  2. 6 − 10 = -4
  3. 28 + -4 = 24

5 solutions

  • 10 − 7 × (4 − 6) = 24Steps
    1. 4 − 6 = -2
    2. 7 × -2 = -14
    3. 10 − -14 = 24
  • 10 + 7 × (6 − 4) = 24Steps
    1. 6 − 4 = 2
    2. 7 × 2 = 14
    3. 10 + 14 = 24
  • 10 × (7 − 4) − 6 = 24Steps
    1. 7 − 4 = 3
    2. 10 × 3 = 30
    3. 30 − 6 = 24
  • 7 × (10 − 6) − 4 = 24Steps
    1. 10 − 6 = 4
    2. 7 × 4 = 28
    3. 28 − 4 = 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 7 10 make 24?

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

How many solutions does 4 6 7 10 have?

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

How difficult is 4 6 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).