Question : Directions: Which two numbers should be interchanged to make the given equation correct?
36 × 12 + 48 ÷ 6 –18 = 202
Option 1: 6 and 18
Option 2: 6 and 12
Option 3: 36 and 18
Option 4: 36 and 48
Correct Answer: 6 and 12
Solution :
Given:
36 × 12 + 48 ÷ 6 –18 = 202
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
6 and 18
= 36 × 12 + 48 ÷ 18 – 6
= 432 + 2.67 – 6
= 428.67 ≠ 202
Second option:
6 and 12
= 36 × 6 + 48 ÷ 12 – 18
= 216 + 4 – 18
= 202
Third option:
36 and 18
= 18 × 12 + 48 ÷ 6 – 36
= 216 + 8 – 36
= 188 ≠ 202
Fourth option:
36 and 48
= 48 × 12 + 36 ÷ 6 – 18
= 576 + 6 – 18
= 564 ≠ 202
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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