Variable Vault Puzzle

Variable Vault – Level 1 – Hard

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.

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Clues:

  1. The difference between A and B is 5 less than D.
  2. C is equal to (A + B) ÷ 2.
  3. A = B + 2
  4. A + B + C + D = 22
  5. D is an odd number greater than 5.
  6. B = 10 – A

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Additional instructions for Variable Vault (Level 1, Hard)

Variable Vault – Hard

Proof-style finish:

  • Re-check each solved equation by substitution.
  • Ensure simplified expressions truly cannot be reduced further.
  • Confirm extracted coefficients/constants are correct.

If the vault doesn’t “open”: the error is usually a small algebra slip earlier in the chain.

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