Which two signs should be interchanged to make the given equation correct?
152+8×16÷9−4=309
- A÷ and -
- B÷ and +
- C- and +
- D+ and ×
Solution & Step-by-step Explanation
Let's check Option A: Interchange ÷ and -
The equation becomes:
152+8×16−9÷4=309
Here, 9÷4 results in a fraction (2.25), so it will not yield an integer value like 309.
Let's check Option B: Interchange ÷ and +
The equation becomes:
152÷8×16+9−4=309
Applying BODMAS rule:
Division: 152÷8=19
Multiplication: 19×16=304
Addition and Subtraction: 304+9−4=313−4=309
The LHS equals RHS (309=309). Therefore, interchanging ÷ and + satisfies the equation.
The equation becomes:
152+8×16−9÷4=309
Here, 9÷4 results in a fraction (2.25), so it will not yield an integer value like 309.
Let's check Option B: Interchange ÷ and +
The equation becomes:
152÷8×16+9−4=309
Applying BODMAS rule:
Division: 152÷8=19
Multiplication: 19×16=304
Addition and Subtraction: 304+9−4=313−4=309
The LHS equals RHS (309=309). Therefore, interchanging ÷ and + satisfies the equation.