Question : Directions: In the following question, correct the equation by interchanging any two numbers.
5 + 3 ÷ 6 × 9 – 2 = 21
Option 1: 5 and 9
Option 2: 3 and 6
Option 3: 6 and 9
Option 4: 5 and 3
Correct Answer: 3 and 6
Solution :
Given:
5 + 3 ÷ 6 × 9 – 2 = 21
Interchange the numbers according to the given options.
Let's check each option –
First option:
5 and 9
= 9 + 3 ÷ 6 × 5 – 2
= 9 + 0.5 × 5 – 2
= 9 + 2.5 – 2
= 11.5 ≠ 21
Second option:
3 and 6;
= 5 + 6 ÷ 3 × 9 – 2
= 5 + 2 × 9 – 2
= 5 + 18 – 2
= 21 = R.H.S.
Third option:
6 and 9;
= 5 + 3 ÷ 9 × 6 – 2
= 5 + 2 – 2
= 5 ≠ 21
Fourth option:
5 and 3;
= 3 + 5 ÷ 6 × 9 – 2
= 3 + 7.5 – 2
= 8.5 ≠ 21
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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