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The two given expressions on both the side of the ‘=’ sign will have the same value if two numbers from either side or both side are interchanged. Select the correct numbers to be interchanged from the given options.
4 + 6 × 7 – 27 ÷ 3 = 7 × 8 – 4 + 39 ÷ 3
  • a)
    6, 4
  • b)
    8, 7
  • c)
    3, 4
  • d)
    6, 8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The two given expressions on both the side of the ‘=’ sign...
Interchanging the numbers using BODMAS rule,
Option 1 → 6, 4
6 + 4 × 7 – 27 ÷ 3 = 7 × 8 – 6 + 39 ÷ 3
6 + 4 × 7 – 9 = 7 × 8 – 6 + 13
6 + 28 – 9 = 56 – 6 + 13
34 – 9 = 69 – 6
25 is not equal to 63
Option 2 → 8, 7
4 + 6 × 8 – 27 ÷ 3 = 8 × 7 – 4 + 39 ÷ 3
4 + 6 × 8 – 9 = 8 × 7 – 4 + 13
4 + 48 – 9 = 56 – 4 + 13
52 – 9 = 69 – 4
43 is not equal to 65
Option 3 → 3, 4
3 + 6 × 7 – 27 ÷ 4 = 7 × 8 – 3 + 39 ÷ 4
3 + 6 × 7 – 6.75 = 7 × 8 – 3 + 9.75
3 + 42 – 6.75 = 56 – 3 + 9.75
45 – 6.75 = 65.75 – 3
38.25 is not equal to 62.75
Option 4 → 6, 8
4 + 8 × 7 – 27 ÷ 3 = 7 × 6 – 4 + 39 ÷ 3
4 + 8 × 7 – 9 = 7 × 6 – 4 + 13
4 + 56 – 9 = 42 – 4 + 13
60 – 9 = 55 – 4
51 = 51
Hence, option 4 is the correct answer.
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Most Upvoted Answer
The two given expressions on both the side of the ‘=’ sign...
Interchanging the Numbers
- In the given equation: 4 + 6 × 7 - 27 ÷ 3 = 7 × 8 - 4 + 39 ÷ 3
- Let's interchange the numbers 6 and 8 from both sides of the equation.

After Interchanging
- The equation becomes: 4 + 8 × 7 - 27 ÷ 3 = 7 × 6 - 4 + 39 ÷ 3
- Simplifying both sides:
- Left side: 4 + 56 - 9 = 42 - 4 + 13
- Left side: 51 = 51

Conclusion
- After interchanging the numbers 6 and 8, both sides of the equation have the same value of 51.
- Therefore, the correct numbers to be interchanged are 6 and 8, which are present in option 'D'.
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Community Answer
The two given expressions on both the side of the ‘=’ sign...
Interchanging the numbers using BODMAS rule,
Option 1 → 6, 4
6 + 4 × 7 – 27 ÷ 3 = 7 × 8 – 6 + 39 ÷ 3
6 + 4 × 7 – 9 = 7 × 8 – 6 + 13
6 + 28 – 9 = 56 – 6 + 13
34 – 9 = 69 – 6
25 is not equal to 63
Option 2 → 8, 7
4 + 6 × 8 – 27 ÷ 3 = 8 × 7 – 4 + 39 ÷ 3
4 + 6 × 8 – 9 = 8 × 7 – 4 + 13
4 + 48 – 9 = 56 – 4 + 13
52 – 9 = 69 – 4
43 is not equal to 65
Option 3 → 3, 4
3 + 6 × 7 – 27 ÷ 4 = 7 × 8 – 3 + 39 ÷ 4
3 + 6 × 7 – 6.75 = 7 × 8 – 3 + 9.75
3 + 42 – 6.75 = 56 – 3 + 9.75
45 – 6.75 = 65.75 – 3
38.25 is not equal to 62.75
Option 4 → 6, 8
4 + 8 × 7 – 27 ÷ 3 = 7 × 6 – 4 + 39 ÷ 3
4 + 8 × 7 – 9 = 7 × 6 – 4 + 13
4 + 56 – 9 = 42 – 4 + 13
60 – 9 = 55 – 4
51 = 51
Hence, option 4 is the correct answer.
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The two given expressions on both the side of the ‘=’ sign will have the same value if two numbers from either side or both side are interchanged. Select the correct numbers to be interchanged from the given options.4 + 6 × 7 – 27 ÷ 3 = 7 × 8 – 4 + 39 ÷ 3a)6, 4b)8, 7c)3, 4d)6, 8Correct answer is option 'D'. Can you explain this answer?
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