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Which of the following interchanges of signs would make the given equation correct ?
49 - 7 + 7 = 14
  • a)
    + and -
  • b)
    - and ÷
  • c)
    - and +
  • d)
    ÷ and -
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following interchanges of signs would make the given equ...
49 - 7 + 7 = 14
On replacing signs,
49 ÷ 7 + 7 = 14
⇒ 7 + 7 = 14
⇒ 14 = 14
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Most Upvoted Answer
Which of the following interchanges of signs would make the given equ...
Interchanging signs to make the equation correct
  • Given equation: 49 - 7 + 7 = 14



Explanation:
Interchanging signs involves changing the operation of addition to subtraction or vice versa. In this case, we are looking for the interchange that will make the equation correct.
  • Option a) + and -: If we interchange the addition and subtraction signs, the equation would become 49 + 7 - 7 = 14. This does not change the result of the equation.
  • Option b) - and ÷: If we interchange the subtraction and division signs, the equation would become 49 ÷ 7 + 7 = 14. This change alters the equation significantly and could potentially result in a correct answer.
  • Option c) - and +: If we interchange the subtraction and addition signs, the equation would become 49 - 7 - 7 = 14. This does not change the result of the equation.
  • Option d) ÷ and -: If we interchange the division and subtraction signs, the equation would become 49 - 7 ÷ 7 = 14. This change alters the equation significantly and could potentially result in a correct answer.


Therefore, the correct interchange of signs that would make the given equation correct is Option b) - and ÷, resulting in the equation 49 ÷ 7 + 7 = 14.
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Which of the following interchanges of signs would make the given equation correct ?49 - 7 + 7 = 14a)+ and -b)- and ÷c)- and +d)÷ and -Correct answer is option 'B'. Can you explain this answer?
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