Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct?
+ and –, 6 and 3
Option 1: 8 – 3 × 4 ÷ 6 + 9 = 18
Option 2: 8 + 4 × 6 ÷ 3 – 9 = 15
Option 3: 9 ÷ 3 × 4 – 6 + 7 = 10
Option 4: 6 ÷ 2 × 8 + 3 – 1 = 20
Correct Answer: 8 + 4 × 6 ÷ 3 – 9 = 15
Solution :
Given:
+ and –, 6 and 3
Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation.
First option:
8 – 3 × 4 ÷ 6 + 9 = 18
⇒ 8 + 6 × 4 ÷ 3 – 9
= 8 + 8 – 9
= 7 ≠ 18
Second option:
8 + 4 × 6 ÷ 3 – 9 = 15
⇒ 8 – 4 × 3 ÷ 6 + 9
= 8 – 2 + 9
= 15 = R.H.S.
Third option:
9 ÷ 3 × 4 – 6 + 7 = 10
⇒ 9 ÷ 6 × 4 + 3 – 7 = 10
= 6 + 3 – 7
= 2 ≠ 10
Fourth option:
6 ÷ 2 × 8 + 3 – 1 = 20
⇒ 3 ÷ 2 × 8 – 6 + 1
= 12 – 6 + 1
= 7 ≠ 20
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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