Which two numbers from among the given options should be interchanged to make the given equation correct?
(357 ÷ 2 + 3) ÷ 11 − 4 = (28 × 3 + 7) ÷ 9
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2 and 3.
Given equation: (357 ÷ 2 + 3) ÷ 11 − 4 = (28 × 3 + 7) ÷ 9
Let us check all the options:
Option 1: 11 and 28
The expression becomes:
= (357 ÷ 2 + 3) ÷ 28 − 4 = (11 × 3 + 7) ÷ 9
= 181.5 ÷ 28 − 4 = 40 ÷ 9
= 2.482 is not equal to 33.778.
Option 2: 2 and 3
The expression becomes:
= (357 ÷ 3 + 2) ÷ 11 − 4 = (28 × 2 + 7) ÷ 9
= 121 ÷ 11 − 4 = 63 ÷ 9
= 7 is equal to 7.
As we have found our answer, so, there is no need to check further options.
Hence, option 2 is the correct answer.