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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 + 6 - 6 = 60, 8 + 7 - 3 = 59, then 17 + 9 - 6 = ?
- a)59
- b)259
- c)20
- d)159
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Some equations have been solved on the basis of a certain system. Find...
Logic: ‘+’ means ‘×’ and ‘-’ means ‘+’
9 + 6 - 6 = 60 → 9 × 6 + 6 = 54 + 6 = 60
8 + 7 - 3 = 59 → 8 × 7 + 3 = 56 + 3 = 59
Similarly, 17 + 9 - 6 → 17 × 9 + 6 = 153 + 6 = 159.
Hence, the correct answer is 159.
9 + 6 - 6 = 60 → 9 × 6 + 6 = 54 + 6 = 60
8 + 7 - 3 = 59 → 8 × 7 + 3 = 56 + 3 = 59
Similarly, 17 + 9 - 6 → 17 × 9 + 6 = 153 + 6 = 159.
Hence, the correct answer is 159.
Most Upvoted Answer
Some equations have been solved on the basis of a certain system. Find...
Understanding the Pattern
To solve the equation using the established pattern, we must first analyze the provided equations:
- 9 + 6 - 6 = 60
- 8 + 7 - 3 = 59
Identifying the Logic
From the examples, we can deduce a hidden rule. Let's break it down:
- For 9 + 6 - 6:
- Calculate: 9 + 6 = 15
- Then, since we subtract 6: 15 - 6 = 9
- Finally, we can see that 60 can be derived from 9 by adding 51 (60 - 9 = 51).
- For 8 + 7 - 3:
- Calculate: 8 + 7 = 15
- Then, subtract 3: 15 - 3 = 12
- Similarly, to reach 59 from 12, we add 47 (59 - 12 = 47).
Applying the Same Logic
Now let’s apply this logic to the unsolved equation:
- 17 + 9 - 6:
- First, calculate: 17 + 9 = 26
- Then, subtract 6: 26 - 6 = 20
- Now, to find the final answer, we need to determine how to reach 159 from 20:
- By adding 139 (159 - 20 = 139).
Conclusion
Following the observed pattern, we can confidently conclude that:
17 + 9 - 6 = 159
Thus, the correct answer is option 'D'.
To solve the equation using the established pattern, we must first analyze the provided equations:
- 9 + 6 - 6 = 60
- 8 + 7 - 3 = 59
Identifying the Logic
From the examples, we can deduce a hidden rule. Let's break it down:
- For 9 + 6 - 6:
- Calculate: 9 + 6 = 15
- Then, since we subtract 6: 15 - 6 = 9
- Finally, we can see that 60 can be derived from 9 by adding 51 (60 - 9 = 51).
- For 8 + 7 - 3:
- Calculate: 8 + 7 = 15
- Then, subtract 3: 15 - 3 = 12
- Similarly, to reach 59 from 12, we add 47 (59 - 12 = 47).
Applying the Same Logic
Now let’s apply this logic to the unsolved equation:
- 17 + 9 - 6:
- First, calculate: 17 + 9 = 26
- Then, subtract 6: 26 - 6 = 20
- Now, to find the final answer, we need to determine how to reach 159 from 20:
- By adding 139 (159 - 20 = 139).
Conclusion
Following the observed pattern, we can confidently conclude that:
17 + 9 - 6 = 159
Thus, the correct answer is option 'D'.
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Solutions for 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 + 6 - 6 = 60, 8 + 7 - 3 = 59, then 17 + 9 - 6 = ?a)59b)259c)20d)159Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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