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Which two numbers should be interchanged to make the given equation correct?
64 − 24 ÷ 3 + 32 × 12 = 158
12 and 32
12 and 3
64 and 12
32 and 64
- Start with the original equation: 64 - 24 ÷ 3 + 32 × 12 = 158.
- Check if interchanging 12 and 32 (Option 1) balances the equation:
- New equation: 64 - 24 ÷ 3 + 12 × 32
- Simplifying: 64 - 8 + 384 = 440; Incorrect.
- Check if interchanging 12 and 3 (Option 2) balances the equation:
- New equation: 64 - 24 ÷ 12 + 32 × 3
- Simplifying: 64 - 2 + 96 = 158; Correct!
- Check if interchanging 64 and 12 (Option 3) balances the equation:
- New equation: 12 - 24 ÷ 3 + 32 × 64
- Simplifying: 12 - 8 + 2048; Incorrect.
- Check if interchanging 32 and 64 (Option 4) balances the equation:
- New equation: 32 - 24 ÷ 3 + 64 × 12
- Simplifying: 32 - 8 + 768; Incorrect.
- The corrected equation is valid when 12 and 3 are interchanged, so option 2 is right.
Correct Answer: Option 2
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