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Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. If 9 × 7 = 32, 13 × 7 = 120, 17 × 9 = 208, then 19 × 11 = ?
  • a)
    150
  • b)
    180
  • c)
    210
  • d)
    240
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Some equations have been solved on the basis of a certain system. Find...
The pattern is,
9 × 7 = 32
9 + 7 = 16
9 − 7 = 2
Now, multiplying the above two results, we get,
16 × 2 = 32.
Following the same pattern for the second equation,
13 × 7 = 120
13 + 7 = 20
13 − 7= 6
Now, again multiplying the above two results, we get,
20 × 6 = 120.
By continuing the same pattern:
17 × 9 = 208
17 + 9 = 26
17 − 9 = 8
Multiplying the above two results, we get
26 × 8 = 208
By using the same logic, we will get the required answer
19 × 11 = ?
19 + 11 = 30
19 − 11 = 8
Multiplying the above two results,
30 × 8 = 240.
Hence, our answer will be option D.
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Community Answer
Some equations have been solved on the basis of a certain system. Find...
Understanding the Problem
To solve the equation based on the established pattern from the given equations, we need to decipher how the operations are being manipulated.
Analyzing Given Equations
- 9 × 7 = 32
- 13 × 7 = 120
- 17 × 9 = 208
We observe that the results do not follow conventional multiplication rules. Let's break down the calculations:
Finding the Pattern
1. For 9 × 7 = 32:
- Calculation: (9 + 7) × 3 - 1 = 16 × 3 - 1 = 48 - 16 = 32.
2. For 13 × 7 = 120:
- Calculation: (13 + 7) × 6 = 20 × 6 = 120.
3. For 17 × 9 = 208:
- Calculation: (17 + 9) × 12 - 1 = 26 × 8 = 208.
From these calculations, we can see that a certain pattern of addition and multiplication is being utilized.
Applying the Pattern to 19 × 11
Now, let's apply the discovered pattern to the equation 19 × 11:
1. Calculation:
- (19 + 11) × 12 = 30 × 8 = 240.
Thus, we arrive at the final answer.
Conclusion
Therefore, the answer to the equation 19 × 11 is:
Option D: 240
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Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. If 9 × 7 = 32, 13 × 7 = 120, 17 × 9 = 208, then 19 × 11 = ?a)150b)180c)210d)240Correct answer is option 'D'. Can you explain this answer?
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