Question : Directions: By interchanging the given two signs which of the following equations will be correct? + and ÷
Option 1: 9 × 18 + 27 ÷ 36 – 30 = 18
Option 2: 9 + 3 × 2 – 8 ÷ 1 = –1
Option 3: 16 + 8 × 2 ÷ 6 – 9 = 10
Option 4: 16 + 2 × 6 ÷ 3 – 7 = 50
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Correct Answer: 9 + 3 × 2 – 8 ÷ 1 = –1
Solution : Let's check the options – First option: 9 × 18 + 27 ÷ 36 – 30 = 18 On interchanging the given signs, the equation becomes – ⇒ 9 × 18 ÷ 27 + 36 – 30 = 18 Solving the L.H.S. of the equation – = 6 + 36 – 30 = 42 – 30 = 12 ≠ 18 Second option: 9 + 3 × 2 – 8 ÷ 1 = –1 On interchanging the given signs, the equation becomes – ⇒ 9 ÷ 3 × 2 – 8 + 1 = –1 Solving the L.H.S. of the equation – = 3 × 2 – 8 + 1 = 6 – 8 + 1 = 7 – 8 = –1 Third option: 16 + 8 × 2 ÷ 6 – 9 = 10 On interchanging the given signs, the equation becomes – ⇒ 16 ÷ 8 × 2 + 6 – 9 = 10 Solving the L.H.S. of the equation – = 2 × 2 + 6 – 9 = 4 + 6 – 9 = 10 – 9 = 1 ≠ 10 Fourth option: 16 + 2 × 6 ÷ 3 – 7 = 50 On interchanging the given signs, the equation becomes – ⇒ 16 ÷ 2 × 6 + 3 – 7 = 50 Solving the L.H.S. of the equation – = 8 × 6 + 3 – 7 = 48 + 3 – 7 = 51 – 7 = 44 ≠ 50
So, only the equation in the second option satisfies the R.H.S. of the given equation. Hence the second option is correct.
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