Which of the following interchanges in signs and numbers will make the given equation correct?
8×9+2=74
- A× and =, 2 and 9
- B× and +, 8 and 2
- C+ and ×, 8 and 9
- D+ and =, 74 and 2
Solution & Step-by-step Explanation
Let's check Option B, which suggests interchanging signs × and + along with interchanging the numbers 8 and 2:
Original Equation: 8×9+2=74
After interchanging × with +, and 8 with 2, the LHS becomes:
2+9×8
Now, evaluating the new expression using the BODMAS rule:
Multiplication first: 9×8=72
Addition next: 2+72=74
Since LHS=RHS=74, Option B makes the equation correct.
Original Equation: 8×9+2=74
After interchanging × with +, and 8 with 2, the LHS becomes:
2+9×8
Now, evaluating the new expression using the BODMAS rule:
Multiplication first: 9×8=72
Addition next: 2+72=74
Since LHS=RHS=74, Option B makes the equation correct.