Variable Vault Level 1 Hard maths puzzle involving algebra, clues, codeword and dials

Variable Vault – Level 1 – Hard

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Topics: algebra, clues, codeword, dials, linear equations, simultaneous equations

Four lettered dials (A, B, C, D) unlock a vault. Each dial must be set to the correct number based on the clues below. Solve all clues to find the code: the 4-digit number ABCD.

Crack the vault code using these clues:

– B + D = A
A = 2(C – 1)
A + B + C + D = 21
A is an even number greater than 4.
C = (B + D + 2) ÷ 2
C + 1 = D + 1

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Additional instructions for Variable Vault (Level 1, Hard)

Variable Vault – Hard

Translate precisely: Hard tasks often require extracting a specific element (e.g. constant term, larger solution, simplified form).

  • Simplify fully first.
  • Identify exactly what the question asks for.
  • Provide that value only — nothing extra.

Common trap: solving when the task only asked for simplification.

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