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Which two digits should be interchanged to make the given equation correct?
384 ÷ 16−72 + 9 × 10 = 2
3 and 7
7 and 9
4 and 8
6 and 9
- Let's examine the given equation: 384 ÷ 16 - 72 + 9 × 10 = 2.
- Calculation without interchange: 384 ÷ 16 = 24, then 24 - 72 = -48, and finally -48 + 90 (from 9 × 10) = 42. So, it is incorrect as it doesn’t equal 2.
- Option 1: 3 and 7 interchange
- New equation: 784 ÷ 16 - 32 + 9 × 10 = 2
- Calculation: 784 ÷ 16 = 49, then 49 - 32 = 17, and finally 17 + 90 = 107. Equation is incorrect.
- Option 2: 7 and 9 interchange
- New equation: 384 ÷ 16 - 92 + 7 × 10 = 2
- Calculation: 384 ÷ 16 = 24, then 24 - 92 = -68, and finally -68 + 70 = 2.
- The equation is perfect!
- Option 3: 4 and 8 interchange
- New equation: 384 ÷ 16 - 72 + 9 × 10 remains the same, calculations remain the same.
- Option 4: 6 and 9 interchange
- New equation: 384 ÷ 19 - 72 + 6 × 10 = 2
- New calculation doesn't make sense and also does not fulfill 2.
Correct Answer: Option 2 - 7 and 9 interchange
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