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
To find the missing number, we need to identify the pattern in the given table. Let's denote the columns as C1, C2, and C3 from left to right. The table is: | C1 | C2 | C3 | |-----|-----|----| | 85 | 20 | 5 | | 126 | 24 | 6 | | 175 | ? | 7 | Step 1: Analyze the relationship between the numbers in the first two rows. Let's look at the relationship between C2 and C3: For the first row: 20 = 4 × 5 For the second row: 24 = 4 × 6 This suggests a pattern where the number in C2 is 4 times the number in C3. Let's also check the relationship between C1 and C3 to ensure consistency, although the missing number is in C2. For the first row: 85 = 17 × 5. We can write 17 = (4 × 5) - 3. So, 85 = ((4 × 5) - 3) × 5. For the second row: 126 = 21 × 6. We can write 21 = (4 × 6) - 3. So, 126 = ((4 × 6) - 3) × 6. For the third row: 175 = 25 × 7. We can write 25 = (4 × 7) - 3. So, 175 = ((4 × 7) - 3) × 7. The pattern for C1 is consistent: C1 = (4 × C3 - 3) × C3. The pattern for C2 is also consistent: C2 = 4 × C3. Step 2: Apply the identified pattern to the third row to find the missing number. Using the pattern for C2, where C2 = 4 × C3: For the third row, C3 is 7. C2 = 4 × 7 C2 = 28 The missing number is 28. The final answer is 28.