Question : Directions: Which two numbers should be interchanged to make the given equation correct? 8 × 4 – 3 + 57 ÷ 9 = 42
Option 1: 8 and 4
Option 2: 3 and 9
Option 3: 57 and 9
Option 4: 42 and 57
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Correct Answer: 3 and 9
Solution : Given: 8 × 4 – 3 + 57 ÷ 9 = 42
Replace the given numbers according to the options one by one with the original numbers in the given equation. First option: 8 and 4 ⇒ 4 × 8 – 3 + 57 ÷ 9 = 42 Solving the L.H.S. of the equation – = 4 × 8 – 3 + 6.34 = 32 – 3 + 6.34 = 35.34 ≠ 42 Second option: 3 and 9 ⇒ 8 × 4 – 9 + 57 ÷ 3 = 42 Solving the L.H.S. of the equation – = 8 × 4 – 9 + 19 = 32 – 9 + 19 = 42 = R.H.S. Third option: 57 and 9 ⇒ 8 × 4 – 3 + 9 ÷ 57 = 42 Solving the L.H.S. of the equation – = 8 × 4 – 3 + 0.16 = 32 – 3 + 0.16 = 29.16 ≠ 42 Fourth option: 42 and 57 ⇒ 8 × 4 – 3 + 42 ÷ 9 = 57 Solving the L.H.S. of the equation – = 8 × 4 – 3 + 4.67 = 32 – 3 + 4.67 = 33.67 ≠ 57
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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