Which of the following interchanges of numbers (not the digits of the numbers) would make the given equation correct?
16×12÷4+8−16=32
- A8 and 32
- B4 and 32
- C8 and 16
- D12 and 16
Solution & Step-by-step Explanation
Let's test the options to see which interchange satisfies the equation using BODMAS rules:
Option C: Interchange 8 and 16
The equation becomes: 8×12÷4+16−8=32
Applying BODMAS:
Division: 12÷4=3
Equation becomes: 8×3+16−8
Multiplication: 8×3=24
Equation becomes: 24+16−8=40−8=32
Since 32=32, this option is correct.
Option C: Interchange 8 and 16
The equation becomes: 8×12÷4+16−8=32
Applying BODMAS:
Division: 12÷4=3
Equation becomes: 8×3+16−8
Multiplication: 8×3=24
Equation becomes: 24+16−8=40−8=32
Since 32=32, this option is correct.