Question : Directions: Which two numbers should be interchanged to make the given equation correct? 12 ÷ 72 × 3 – 13 = 5
Option 1: 13 and 5
Option 2: 13 and 3
Option 3: 12 and 3
Option 4: 12 and 72
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Correct Answer: 12 and 72
Solution : Given: 12 ÷ 72 × 3 – 13 = 5
Replace the given numbers according to the options one by one with the original numbers in the given equation. First option: 13 and 5 = 12 ÷ 72 × 3 – 5 = 13 Solving the L.H.S. of the equation – = 0.166 × 3 – 5 = 0.5 – 5 = –4.5 ≠ 13 Second option: 13 and 3 = 12 ÷ 72 × 13 – 3 = 5 Solving the L.H.S. of the equation – = 0.166 × 13 – 3 = 2.167 – 3 = –0.84 ≠ 5 Third option: 12 and 3 = 3 ÷ 72 × 12 – 13 = 5 Solving the L.H.S. of the equation – = 0.0416 × 12 – 13 = 0.5 – 13 = –12.5 ≠ 5 Fourth option: 12 and 72 = 72 ÷ 12 × 3 – 13 = 5 Solving the L.H.S. of the equation – = 6 × 3 – 13 = 18 – 13 = 5 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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