Which two numbers (not digits) should be interchanged to make the given equation correct?
24×6+36−18÷3=105
- A6 and 24
- B24 and 36
- C3 and 18
- D3 and 6
Solution & Step-by-step Explanation
Let's test the options to see which number interchange satisfies the equation.
Test Option D (Interchanging 3 and 6):
Replace 3 with 6 and 6 with 3 in the expression:
24×3+36−18÷6
Applying the BODMAS rule:
Division: 18÷6=3
Multiplication: 24×3=72
Addition and Subtraction: 72+36−3=108−3=105
Since the left-hand side equals the right-hand side (105=105), interchanging 3 and 6 is the correct solution.
Test Option D (Interchanging 3 and 6):
Replace 3 with 6 and 6 with 3 in the expression:
24×3+36−18÷6
Applying the BODMAS rule:
Division: 18÷6=3
Multiplication: 24×3=72
Addition and Subtraction: 72+36−3=108−3=105
Since the left-hand side equals the right-hand side (105=105), interchanging 3 and 6 is the correct solution.