This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Analyze the given equations to find the pattern. Let the number on the left side be N and the number on the right side be R. For the first equation: 3 = 27 We can see that 3 × 9 = 27. For the second equation: 4 = 32 We can see that 4 × 8 = 32. For the third equation: 5 = 35 We can see that 5 × 7 = 35. For the fourth equation: 6 = 36 We can see that 6 × 6 = 36. Step 2: Identify the relationship between N and the multiplier. Let the multiplier be M. When N=3, M=9. When N=4, M=8. When N=5, M=7. When N=6, M=6. The multiplier M is decreasing by 1 each time N increases by 1. We can express M in terms of N. Notice that M + N = 12 for all cases: 9 + 3 = 12 8 + 4 = 12 7 + 5 = 12 6 + 6 = 12 So, the multiplier M can be written as M = 12 - N. Step 3: Apply the pattern to find the missing value for 8 = ??. Here, N=8. First, find the multiplier M: M = 12 - N = 12 - 8 = 4 Now, multiply N by M to find the right-hand side value: R = N × M = 8 × 4 = 32 The missing value is 32. Step 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.