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Find the missing value in the pattern: 3 = 27, 4 = 32, 5 = 35, 6 = 36, 8 = ??

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. Analyze the given equations to find the pattern.

    Let the number on the left side be NN and the number on the right side be RR.

    For the first equation: 3=273 = 27
    We can see that 3×9=273 \times 9 = 27.

    For the second equation: 4=324 = 32
    We can see that 4×8=324 \times 8 = 32.

    For the third equation: 5=355 = 35
    We can see that 5×7=355 \times 7 = 35.

    For the fourth equation: 6=366 = 36
    We can see that 6×6=366 \times 6 = 36.

  2. Identify the relationship between NN and the multiplier.

    Let the multiplier be MM.
    When N=3N=3, M=9M=9.
    When N=4N=4, M=8M=8.
    When N=5N=5, M=7M=7.
    When N=6N=6, M=6M=6.

    The multiplier MM is decreasing by 1 each time NN increases by 1.
    We can express MM in terms of NN. Notice that M+N=12M + N = 12 for all cases:
    9+3=129 + 3 = 12
    8+4=128 + 4 = 12
    7+5=127 + 5 = 12
    6+6=126 + 6 = 12
    So, the multiplier MM can be written as M=12−NM = 12 - N.

  3. Apply the pattern to find the missing value for 8=??8 = ??.

    Here, N=8N=8.
    First, find the multiplier MM:

    M=12−N=12−8=4M = 12 - N = 12 - 8 = 4

    Now, multiply NN by MM to find the right-hand side value:

    R=N×M=8×4=32R = N \times M = 8 \times 4 = 32

    The missing value is 32.

  4. Compare the result with the given options.

    A. 40
    B. 32
    C. 35
    D. 37

    The calculated value is 32, which matches option B.

    The final answer is B. 32\boxed{\text{B. 32}}.

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