Which two signs should be interchanged to make the equation mathematically correct?
54 × 8 – 48 ÷ 12 + 27 = 24
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ÷ and –.
Given equation: 54 × 8 – 48 ÷ 12 + 27 = 24
Option 1: – and +
After interchanging the expression becomes:
= 54 × 8 + 48 ÷ 12 – 27 = 24
= 54 × 8 + 4 – 27
= 432 + 4 – 27
= 409 is not equal to 24.
Option 2: ÷ and –
After interchanging the expression becomes:
= 54 × 8 ÷ 48 – 12 + 27 = 24
= 9 – 12 + 27
= 9 + 15
= 24 is equal to 24.
As we have found our answer, there is no need to check further options.
Hence, option 2 is the correct answer.