Question

After interchanging ÷ and × , 4 and 8, which of the following equations becomes correct?

A 35 ÷ 8 + 16 × 4 – 2 = 142 Correct Answer Incorrect Answer
B 40 × 4 + 13 ÷ 8 - 7 = 50 Correct Answer Incorrect Answer
C 84 × 8 + 12 ÷ 4 – 3 = 110 Correct Answer Incorrect Answer
D 50 ÷ 8 – 16 × 8 + 2 = 208 Correct Answer Incorrect Answer

Solution

1. 35 ÷ 8 + 16 × 4 – 2  = 142 ⇒ 35 × 4 + 16 ÷ 8 – 2   ⇒ 140 + 2 – 2    ⇒ 140 ≠ 142 2. 40 ×  4 + 13 ÷ 8 - 7  = 50 ⇒ 40 ÷ 8 + 13 × 4 – 7    ⇒ 5 + 52 – 7 ⇒ 50 = 50  3. 84 ×  8  + 12 ÷ 4 – 3  = 110 ⇒ 84 ÷ 4 + 12 × 8 – 3    ⇒ 21 + 96 – 3    ⇒ 114 ≠ 110 4. 50 ÷ 8 – 16 × 8 + 2 = 208 ⇒ 50 × 4 – 16 ÷ 4 + 2 ⇒ 200 – 4 + 2    ⇒ 198 ≠ 110 Hence, option 2 is correct.

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