Question : Directions: Which two numbers should be interchanged, to make the given equation correct?
120 ÷ 12 × 6 + 24 – 15 = 27
Option 1: 12 and 6
Option 2: 12 and 15
Option 3: 12 and 24
Option 4: 6 and 24
Correct Answer: 12 and 24
Solution :
Given:
120 ÷ 12 × 6 + 24 – 15 = 27
Replace the given numbers according to the options one by one with the original numbers in the given equation.
First option:
12 and 6
120 ÷ 12 × 6 + 24 – 15 = 27
= 120 ÷ 6 × 12 + 24 – 15
= 240 + 9
= 249 ≠ 27
Second option:
12 and 15
120 ÷ 12 × 6 + 24 – 15 = 27
= 120 ÷ 15 × 6 + 24 – 12
= 48 + 12
= 60 ≠ 27
Third option:
12 and 24
120 ÷ 12 × 6 + 24 – 15 = 27
= 120 ÷ 24 × 6 + 12 – 15
= 30 – 3
= 27
Fourth option:
6 and 24
120 ÷ 12 × 6 + 24 – 15 = 27
= 120 ÷ 12 × 24 + 6 – 15
= 240 – 9
= 231 ≠ 27
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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