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Which two numbers should be interchanged to make the following equation correct? 96 ÷ 8 – 3 × 6 + 32 = 24
Question

Which two numbers should be interchanged to make the following equation correct?
96 ÷ 8 – 3 × 6 + 32 = 24

A.

6 and 8

B.

3 and 32

C.

3 and 8

D.

8 and 32

Correct option is A

To solve the problem, we need to check each option by interchanging the two numbers mentioned and then verifying if the equation becomes correct.
Original Equation: 96 ÷ 8 – 3 × 6 + 32 = 24
Step 1: Check option (a) by interchanging 6 and 8: 96 ÷ 6 – 3 × 8 + 32
Perform the operations: 96 ÷ 6 = 16 3 × 8 = 24 16 – 24 + 32 = 16 + 8 = 24
This equation is correct. So, the answer is option (a).
Step 2: To verify, let's quickly go through the other options:
Option (b): Interchange 3 and 32: 96 ÷ 8 – 32 × 6 + 3 = (This results in a very large negative number, not 24.)
Option (c): Interchange 3 and 8: 96 ÷ 3 – 8 × 6 + 32 = (This results in a value different from 24.)
Option (d): Interchange 8 and 32: 96 ÷ 32 – 3 × 6 + 8 = (This results in a value different from 24.)
Since only option (a) makes the equation correct answer.

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