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If ACE = 15 and BDF = 48, what is the value of HJL?

Mathematics

ScanSolve AI Answer

Answer

960\text{960}

Step-by-step solution

3 steps
  1. Determine the numerical position of each letter in the alphabet (A=1, B=2, C=3, and so on).

    For ACE = 15:
    A = 1
    C = 3
    E = 5
    Multiplying these positions: 1×3×5=151 \times 3 \times 5 = 15. This matches the given value.

  2. Verify the rule with BDF = 48.

    B = 2
    D = 4
    F = 6
    Multiplying these positions: 2×4×6=482 \times 4 \times 6 = 48. This also matches the given value.

  3. Apply the established rule to HJL.

    H = 8
    J = 10
    L = 12
    Multiply their alphabetical positions:

    8×10×12=80×12=9608 \times 10 \times 12 = 80 \times 12 = 960

    Therefore, HJL = 960.

    The final answer is 960\text{960}.

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