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Some equations have been solved based on 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)
    240
  • d)
    210
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Some equations have been solved based on a certain system. Find the c...
The pattern of equation is
(9 + 7)(9 - 7) = 16 x 2 = 32
(13 + 7)(13 - 7) = 20 x 6= 120
(17 + 9)(17 - 9) = 26 x 8 = 208
(19 + 11)(19 - 11) = 30 x 8 = 240
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Most Upvoted Answer
Some equations have been solved based on a certain system. Find the c...
Given:
9 * 7 = 32
13 * 7 = 120
17 * 9 = 208

To find:
19 * 11 = ?

Analysis:
Let's analyze the given equations to identify the pattern or system used to solve them.

In the first equation, we multiply the first number (9) by the second number (7), and then add 5 to the result. So, 9 * 7 + 5 = 63 + 5 = 68. However, the given answer is 32, which means we subtracted 36 from the calculated result.

Similarly, in the second equation, we multiply 13 by 7, add 5 to the result, and then subtract 3. So, 13 * 7 + 5 - 3 = 91 + 5 - 3 = 93. But the given answer is 120, which means we added 27 to the calculated result.

In the third equation, we multiply 17 by 9, add 5 to the result, and then subtract 7. So, 17 * 9 + 5 - 7 = 153 + 5 - 7 = 151. However, the given answer is 208, which means we added 57 to the calculated result.

Pattern:
From the analysis above, we can observe the following pattern:

- Multiply the first number by the second number.
- Add 5 to the result.
- Subtract a specific number from the calculated result, which is different for each equation.

Solution:
To find the value of 19 * 11, we apply the same pattern:

Step 1: Multiply 19 by 11:
19 * 11 = 209

Step 2: Add 5 to the result:
209 + 5 = 214

Step 3: Subtract a specific number from the calculated result:
214 - 6 = 208

Therefore, 19 * 11 = 208.

Conclusion:
Based on the given system, the correct answer for the unsolved equation 19 * 11 is 208, which corresponds to option 'C'.
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Some equations have been solved based on 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)240d)210Correct answer is option 'C'. Can you explain this answer?
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