Question : Directions: Which two numbers should be interchanged to make the given equation correct? 9 + 30 × 15 – 18 ÷ 6 = 274
Option 1: 18 and 9
Option 2: 30 and 18
Option 3: 15 and 18
Option 4: 9 and 30
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Correct Answer: 30 and 18
Solution : Given: 9 + 30 × 15 – 18 ÷ 6 = 274
Let's check the given options – First Option: 18 and 9 ⇒ 18 + 30 × 15 – 9 ÷ 6 = 274 Solving the L.H.S. of the equation – = 18 + 30 × 15 – 1.5 = 18 + 450 – 1.5 = 466.5 ≠ 274 Second option: 30 and 18 ⇒ 9 + 18 × 15 – 30 ÷ 6 = 274 Solving the L.H.S. of the equation – = 9 + 18 × 15 – 5 = 9 + 270 – 5 = 274 = R.H.S. Third option: 15 and 18 ⇒ 9 + 30 × 18 – 15 ÷ 6 = 274 Solving the L.H.S. of the equation – = 9 + 30 × 18 – 2.5 = 9 + 540 – 2.5 = 546.5 ≠ 274 Fourth option: 9 and 30 ⇒ 30 + 9 × 15 – 18 ÷ 6 = 274 Solving the L.H.S. of the equation – = 30 + 9 × 15 – 3 = 30 + 135 – 3 = 162 ≠ 274
So, only the second option satisfies the given equation. Hence, the second option is correct.
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