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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