Question : Directions: After interchanging which two numbers, the value of the given equation will be 30. 8 × 1 – 9 ÷ 3 + 4
Option 1: 4 and 3
Option 2: 1 and 4
Option 3: 3 and 9
Option 4: 8 and 4
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Correct Answer: 1 and 4
Solution : Given: 8 × 1 – 9 ÷ 3 + 4 = 30
Replace the given numbers according to the options one by one with the original numbers in the given equation. First option: 4 and 3 Solving the L.H.S. of the equation – = 8 × 1 – 9 ÷ 4 + 3 = 8 × 1 – 2.25 + 3 = 8 – 2.25 + 3 = 8.75 ≠ 30 Second option: 1 and 4 Solving the L.H.S. of the equation – = 8 × 4 – 9 ÷ 3 + 1 = 8 × 4 – 3 + 1 = 32 – 3 + 1 = 30 = R.H.S. Third option: 3 and 9 Solving the L.H.S. of the equation – = 8 × 1 – 3 ÷ 9 + 4 = 8 × 1 – 0.34 + 4 = 8 – 0.34 + 4 = 11.67 ≠ 30 Fourth option: 8 and 4 Solving the L.H.S. of the equation – = 4 × 1 – 9 ÷ 3 + 8 = 4 × 1 – 3 + 8 = 4 – 3 + 8 = 9 ≠ 30
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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