Question : Directions: By Interchanging which two signs the equation will be correct? 27 ÷ 3 – 18 + 3 × 2 = 18
Option 1: + and –
Option 2: × and +
Option 3: + and ÷
Option 4: ÷ and ×
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Correct Answer: + and ÷
Solution : Given: 27 ÷ 3 – 18 + 3 × 2 = 18
Let's check the given options – First option: + and – On interchanging the mathematical signs, we get – 27 ÷ 3 + 18 – 3 × 2 = 18 Solving the L.H.S. of the given equation – = 27 ÷ 3 + 18 – 3 × 2 = 9 + 18 – 3 × 2 = 9 + 18 – 6 = 21 ≠ 18 Second option: × and + On interchanging the mathematical signs, we get – 27 ÷ 3 – 18 × 3 + 2 = 18 Solving the L.H.S. of the given equation – = 27 ÷ 3 – 18 × 3 + 2 = 9 – 18 × 3 + 2 = 9 – 54 + 2 = –43 ≠ 18 Third option: + and ÷ On interchanging the mathematical signs, we get – 27 + 3 – 18 ÷ 3 × 2 = 18 Solving the L.H.S. of the given equation – = 27 + 3 – 18 ÷ 3 × 2 = 27 + 3 – 6 × 2 = 27 + 3 – 12 = 18 = R.H.S. Fourth option: ÷ and × On interchanging the mathematical signs, we get – 27 × 3 – 18 + 3 ÷ 2 = 18 Solving the L.H.S. of the given equation – = 27 × 3 – 18 + 3 ÷ 2 = 27 × 3 – 18 + 1.5 = 81 – 18 + 1.5 = 64.5 ≠ 18
So, only the third option satisfies the R.H.S. of the equation. Hence, the third option is correct.
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