Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
54 27 9 18 36 * 72
- A+, ÷, ×, −, =
- B−, +, ×, ÷, =
- C+, −, ×, ÷, =
- D−, ×, +, ÷, =
Solution & Step-by-step Explanation
Let's test Option A: +, ÷, ×, −, =
Substitute the signs into the equation:
54+27÷9×18−36=72
Using the BODMAS rule:
Division:
27÷9=3
The equation becomes: 54+3×18−36=72
Multiplication:
3×18=54
The equation becomes: 54+54−36=72
Addition and Subtraction:
108−36=72
72=72
LHS = RHS. Thus, Option A perfectly balances the equation.
Substitute the signs into the equation:
54+27÷9×18−36=72
Using the BODMAS rule:
Division:
27÷9=3
The equation becomes: 54+3×18−36=72
Multiplication:
3×18=54
The equation becomes: 54+54−36=72
Addition and Subtraction:
108−36=72
72=72
LHS = RHS. Thus, Option A perfectly balances the equation.