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

Variable Vault – Level 1 – Medium

Home » Puzzles » Variable Vault » Level 1 - Medium » Variable Vault – Level 1 – Medium
Topics: algebra, clues, codeword, dials, linear equations, systems of 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 + C = 20
A + B = C + D + 0
A + B + D = 17
C is 5 less than B.
B + A = 10

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Additional instructions for Variable Vault (Level 1, Medium)

Variable Vault – Medium

Medium puzzles usually combine several algebra skills: expanding, rearranging, and possibly extracting a specific value (like a coefficient).

Strategy:

  • Rewrite the expression clearly after substitution.
  • Simplify completely before solving.
  • Keep track of each unlocked value in order.

Tip: if an answer looks messy, check earlier expansion steps for sign errors.

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