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If we interchange the value of + and ÷ t...

If we interchange the value of + and ÷ then find the value of given expression? 27 ÷ 3 − 18 + 3 × 2 = ?

A

12

B

15

C

18

D

21

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given expression after interchanging the operations of addition (+) and division (÷), we will follow these steps: ### Step-by-Step Solution: 1. **Write the Original Expression**: The original expression is: \[ 27 \div 3 - 18 + 3 \times 2 \] 2. **Interchange the Operations**: We will replace division (÷) with addition (+) and addition (+) with division (÷). The modified expression becomes: \[ 27 + 3 - 18 \div 3 \times 2 \] 3. **Evaluate the New Expression**: According to the order of operations (BODMAS/BIDMAS), we will first perform the division: \[ 18 \div 3 = 6 \] Now, substitute this back into the expression: \[ 27 + 3 - 6 \times 2 \] 4. **Continue with Multiplication**: Next, we perform the multiplication: \[ 6 \times 2 = 12 \] Substitute this back into the expression: \[ 27 + 3 - 12 \] 5. **Perform Addition and Subtraction**: Now, we will perform the addition and subtraction from left to right: \[ 27 + 3 = 30 \] Then subtract: \[ 30 - 12 = 18 \] 6. **Final Result**: The final value of the modified expression is: \[ 18 \] ### Final Answer: The value of the expression after interchanging the operations is **18**.
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