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4 6 9 10 = 24: 5 solutions

Difficulty: HardOpen in Solver

6 × 10 − 4 × 9 = 24

  1. 6 × 10 = 60
  2. 4 × 9 = 36
  3. 60 − 36 = 24

5 solutions

  • 4 × 6 × (10 − 9) = 24Steps
    1. 4 × 6 = 24
    2. 10 − 9 = 1
    3. 24 × 1 = 24
  • 4 × 6 ÷ (10 − 9) = 24Steps
    1. 4 × 6 = 24
    2. 10 − 9 = 1
    3. 24 ÷ 1 = 24
  • 9 + 10 ÷ (4 ÷ 6) = 24Steps
    1. 4 ÷ 6 = 2/3
    2. 10 ÷ 2/3 = 15
    3. 9 + 15 = 24
  • (6 + 9 × 10) ÷ 4 = 24Steps
    1. 9 × 10 = 90
    2. 6 + 90 = 96
    3. 96 ÷ 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 9 10 make 24?

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

How many solutions does 4 6 9 10 have?

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

How difficult is 4 6 9 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).