Question : Directions: Which of the following interchange of numbers would make the given equation correct? 5 × 15 + 3 + 20 – 9 = 101
Option 1: 5, 20
Option 2: 15, 20
Option 3: 3, 9
Option 4: 101, 20
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Correct Answer: 3, 9
Solution : Given: 5 × 15 + 3 + 20 – 9 = 101
Replace the original numbers given in the equation with the assigned numbers in the options one by one – First option: 5, 20 20 × 15 + 3 + 5 – 9 = 101 = 300 + 3 + 5 – 9 299 ≠ 101 Second option: 15, 20 5 × 20 + 3 + 15 – 9 = 101 = 100 + 3 + 15 – 9 109 ≠ 101 Third option: 3, 9 5 × 15 + 9 + 20 – 3 = 101 = 75 + 9 + 20 – 3 101 = 101 Fourth option: 101, 20 5 × 15 + 3 + 101 – 9 = 20 = 75 + 3 + 101 – 9 170 ≠ 20
So, only the third option satisfies the equation. Hence, the third option is correct.
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