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If + = x , - = ÷ , x = + , ÷ = - , then which is the correct equation out of the following ?
  • a)
    18 ÷ 6 + 4 - 2 ÷ 3 = 22
  • b)
    18 + 6 - 4 x 2 ÷ 3 = 26
  • c)
    18 x 6 - 4 + 7 x 8 = 47
  • d)
    18 - 6 x 7 ÷ 2 + 8 = 63
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If + = x , - = ÷ , x = + , ÷ = - , then which is the cor...
18 + 6 - 4 x 2 ÷ 3 = 26
After chaning, the equation is
L.H.S., 18 x 6 ÷ 4 + 2 - 3
108 ÷ 4 + 2 - 3
27 + 2 - 3
29 - 3 = 26 R.H.S.
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Most Upvoted Answer
If + = x , - = ÷ , x = + , ÷ = - , then which is the cor...
Understanding the Problem
In this problem, we need to interpret the mathematical operations with a set of substitutions:
- + is replaced by x
- - is replaced by ÷
- x is replaced by +
- ÷ is replaced by -
Analyzing Option B
The given option is:
18 + 6 - 4 x 2 ÷ 3 = 26
Now, applying the substitutions:
- 18 + 6 becomes 18 x 6
- - 4 becomes ÷ 4
- x 2 becomes + 2
- ÷ 3 becomes - 3
So, the transformed equation becomes:
18 x 6 ÷ 4 + 2 - 3
Calculating Step-by-Step
1. First Operation: Multiplication (x)
- 18 x 6 = 108
2. Second Operation: Division (÷)
- 108 ÷ 4 = 27
3. Third Operation: Addition (+)
- 27 + 2 = 29
4. Fourth Operation: Subtraction (-)
- 29 - 3 = 26
Conclusion
The left side of the equation equals 26, which matches the right side of the equation. Therefore, option B is indeed correct.
Summary of Other Options
- Option A: Incorrect calculations lead to a false statement.
- Option C: Simplification does not yield 47.
- Option D: Steps do not add up to 63.
Thus, the correct answer is option 'B'.
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Community Answer
If + = x , - = ÷ , x = + , ÷ = - , then which is the cor...
18 + 6 - 4 x 2 ÷ 3 = 26
After chaning, the equation is
L.H.S., 18 x 6 ÷ 4 + 2 - 3
108 ÷ 4 + 2 - 3
27 + 2 - 3
29 - 3 = 26 R.H.S.
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Question Description
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