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Which two numbers should be interchanged to make the given equation correct?
9 + 7 × 5 − 18 ÷ 2 = 3 × 4 − 10 + 45 ÷ 5
18 and 45
7 and 4
2 and 5
9 and 3
- Start by solving both sides of the equation using the order of operations (PEMDAS/BODMAS).
- Left Side: 9 + 7 × 5 - 18 ÷ 2 = 9 + 35 - 9 = 44 - 9 = 35
- Right Side: 3 × 4 - 10 + 45 ÷ 5 = 12 - 10 + 9 = 2 + 9 = 11
- The equation 35 = 11 is incorrect.
- Option 1: Change 18 and 45
- New Left: 9 + 7 × 5 - 45 ÷ 2 = 9 + 35 - 22.5 = 21.5
- Correct equation: 21.5 = 11 is incorrect.
- Option 2: Change 7 and 4
- New Left: 9 + 4 × 5 - 18 ÷ 2 = 9 + 20 - 9 = 20
- Correct equation: 20 = 11 is incorrect.
- Option 3: Change 2 and 5
- New Left: 9 + 7 × 2 - 18 ÷ 5 = 9 + 14 - 3.6 = 19.4
- Correct equation: 19.4 = 11 is incorrect.
- Option 4: Change 9 and 3
- New Left: 3 + 7 × 5 - 18 ÷ 2 = 3 + 35 - 9 = 29
- New Right: 9 × 4 - 10 + 45 ÷ 5 = 36 - 10 + 9 = 35
- Correct equation: 29 = 35 is incorrect.
- Correct Answer: None of the options make the sides equal, but changing 7 and 4 makes progress toward equality.
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