Question : Directions: Which two numbers should be interchanged to make the given equation correct? 5 – 4 ÷ 2 × 10 + 7 = 7
Option 1: 10 and 2
Option 2: 5 and 7
Option 3: 5 and 2
Option 4: 10 and 5
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Correct Answer: 10 and 5
Solution : Given: 5 – 4 ÷ 2 × 10 + 7 = 7
Let's check each option – First option: 10 and 2 On interchanging the numbers, we get – 5 – 4 ÷ 10 × 2 + 7 = 7 On solving the L.H.S. of the equation – = 5 – 4 ÷ 10 × 2 + 7 = 5 – 0.4 × 2 + 7 = 5 – 0.8 + 7 = 11.2 ≠ 7 Second option: 5 and 7 On interchanging the numbers, we get – 7 – 4 ÷ 2 × 10 + 5 = 5 On solving the L.H.S. of the equation – = 7 – 4 ÷ 2 × 10 + 5 = 7 – 2 × 10 + 5 = 7 – 20 + 5 = –8 ≠ 5 Third option: 5 and 2 On interchanging the numbers, we get – 2 – 4 ÷ 5 × 10 + 7 = 7 On solving the L.H.S. of the equation – = 2 – 4 ÷ 5 × 10 + 7 = 2 – 0.8 × 10 + 7 = 2 – 8 + 7 = 1 ≠ 7 Fourth option: 10 and 5 On interchanging the numbers, we get – 10 – 4 ÷ 2 × 5 + 7 = 7 On solving the L.H.S. of the equation – = 10 – 4 ÷ 2 × 5 + 7 = 10 – 2 × 5 + 7 = 10 – 10 + 7 = 7
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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