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5 5 7 7 = 24: 4 solutions

Difficulty: EasyOpen in Solver

5 + 5 + 7 + 7 = 24

  1. 5 + 5 = 10
  2. 7 + 7 = 14
  3. 10 + 14 = 24

4 solutions

  • 7 × 7 − 5 × 5 = 24Steps
    1. 7 × 7 = 49
    2. 5 × 5 = 25
    3. 49 − 25 = 24
  • 5 × 5 − 7 ÷ 7 = 24Steps
    1. 5 × 5 = 25
    2. 7 ÷ 7 = 1
    3. 25 − 1 = 24
  • (5 + 7) × (7 − 5) = 24Steps
    1. 5 + 7 = 12
    2. 7 − 5 = 2
    3. 12 × 2 = 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 5 5 7 7 make 24?

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

How many solutions does 5 5 7 7 have?

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

How difficult is 5 5 7 7?

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).