Question : Directions: Which two numbers should be interchanged to make the given equation correct? 144 ÷ 24 × 6 + 12 – 18 = 78
Option 1: 6 and 18
Option 2: 24 and 12
Option 3: 24 and 6
Option 4: 24 and 18
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Correct Answer: 24 and 12
Solution : Given: 144 ÷ 24 × 6 + 12 – 18 = 78
Interchange the given numbers according to the options one by one with the original numbers in the given equation. First option: 6 and 18 Solving the L.H.S. of the equation – ⇒ 144 ÷ 24 × 18 + 12 – 6 = 108 + 12 – 6 = 114 ≠ 78 Second option: 24 and 12 Solving the L.H.S. of the equation – ⇒ 144 ÷ 12 × 6 + 24 – 18 = 72 + 6 = 78 = R.H.S. Third option: 24 and 6 Solving the L.H.S. of the equation – ⇒ 144 ÷ 6 × 24 + 12 – 18 = 576 + 12 – 18 = 576 – 6 = 570 ≠ 78 Fourth option: 24 and 18 Solving the L.H.S. of the equation – ⇒ 144 ÷ 18 × 6 + 12 – 24 = 48 + 12 – 24 = 48 – 12 = 36 ≠ 78
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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