Question : Directions: Which two numbers should be interchanged to make the given equation correct? 108 ÷ 6 – 18 + 8 × 9 = 42
Option 1: 108 and 18
Option 2: 9 and 6
Option 3: 18 and 9
Option 4: 6 and 8
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Correct Answer: 9 and 6
Solution : Given: 108 ÷ 6 – 18 + 8 × 9 = 42
Replace the given numbers according to the options one by one with the original symbols in the given equation. First option: 108 and 18 Solving the L.H.S. of the equation – ⇒ 18 ÷ 6 – 108 + 8 × 9 = 3 – 108 + 72 = –33 ≠ 42 Second option: 9 and 6 Solving the L.H.S. of the equation – ⇒ 108 ÷ 9 – 18 + 8 × 6 = 12 – 18 + 48 = 42 = 42 Third option: 18 and 9 Solving the L.H.S. of the equation – ⇒ 108 ÷ 6 – 9 + 8 × 18 = 18 – 9 + 144 = 153 ≠ 42 Fourth option: 6 and 8 Solving the L.H.S. of the equation – ⇒ 108 ÷ 8 – 18 + 6 × 9 = 13.5 – 18 + 54 = 49.5 ≠ 42
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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