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Given interchanges : signs + and - numbers 8 and 10.
Which statement is true?
  • a)
    8 - 10 + 6 = 12
  • b)
    10 - 8 + 7 = 4
  • c)
    10 + 8 - 9 = 16
  • d)
    10 + 8 - 3 = 10
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Given interchanges : signs + and - numbers 8 and 10.Which statement is...
Option. A
8 - 10 + 6 = 12
if we interchange the no 8 and 10 and signs + and - we get
10 + 8 - 6 = 12
⇒ 18 - 6 = 12 (correct)
Option. B
10 - 8 + 7 = 4
if we interchange the no 8 and 10 and signs + and - we get
⇒ 8 + 10 - 7 = 4
⇒ 18 - 7 = 4
⇒ 11 ≠ 4 (not true)
Option. C
10 + 8 - 9 = 16
if we interchange the no 8 and 10 and signs + and - we get
8 - 10 + 9 = 16
⇒ 17 - 10 = 16
⇒ 7 ≠ 16 (not true)
Option. D
10 + 8 - 3 = 10
if we interchange the no 8 and 10 and signs + and - we get
8 - 10 + 3 = 10
⇒ 11 - 10 = 10
⇒ 1 ≠ 10 (not true)
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Community Answer
Given interchanges : signs + and - numbers 8 and 10.Which statement is...
Explanation:

According to the given interchanges, the sign " - " represents subtraction and the numbers 8 and 10 are the operands.

We need to determine which statement is true out of the given options.

Let's evaluate each option one by one:

Option a: 8 - 10 + 6 = 12
When we subtract 10 from 8, we get -2. Adding 6 to -2 gives us 4, not 12. Therefore, option a is incorrect.

Option b: 10 - 8 + 7 = 4
When we subtract 8 from 10, we get 2. Adding 7 to 2 gives us 9, not 4. Therefore, option b is incorrect.

Option c: 10 + 8 - 9 = 16
Here, we are adding 10 and 8, which gives us 18. Subtracting 9 from 18 gives us 9, not 16. Therefore, option c is incorrect.

Option d: 10 + 8 - 3 = 10
When we add 10 and 8, we get 18. Subtracting 3 from 18 gives us 15, not 10. Therefore, option d is incorrect.

Conclusion:
Out of the given options, none of them are true. Therefore, there is no correct answer among the options provided.
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Given interchanges : signs + and - numbers 8 and 10.Which statement is true?a) 8 - 10 + 6 = 12 b) 10 - 8 + 7 = 4 c) 10 + 8 - 9 = 16 d) 10 + 8 - 3 = 10 Correct answer is option 'A'. Can you explain this answer?
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