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If the mathematical operator + means 'xx...

If the mathematical operator `+` means `'xx','+'` means `'-','xx'` means `+` and `-` means `div` , then `25 + 18-3xx7 div 3 = ?`
A.25
B.21
C. 19
D. 40.

A

B

B

A

C

D

D

C

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 25 + 18 - 3 \times 7 \div 3 \) with the given operator transformations, we will first replace each operator according to the rules provided: 1. **Operator Transformations**: - `+` means `-` - `-` means `div` - `xx` means `+` - `div` means `*` Now, let's rewrite the expression step by step: ### Step 1: Replace the operators The original expression is: \[ 25 + 18 - 3 \times 7 \div 3 \] Replacing the operators: - \( + \) becomes \( - \) - \( - \) becomes \( \div \) - \( \times \) (which is represented as `xx`) becomes \( + \) - \( \div \) becomes \( \times \) So, the expression becomes: \[ 25 - 18 \div 3 + 7 \times 3 \] ### Step 2: Evaluate the expression Now, we will evaluate the expression step by step: 1. **Evaluate \( 18 \div 3 \)**: \[ 18 \div 3 = 6 \] 2. **Substitute back into the expression**: \[ 25 - 6 + 7 \times 3 \] 3. **Evaluate \( 7 \times 3 \)**: \[ 7 \times 3 = 21 \] 4. **Substitute back into the expression**: \[ 25 - 6 + 21 \] 5. **Now perform the operations from left to right**: - First, calculate \( 25 - 6 \): \[ 25 - 6 = 19 \] - Then, add \( 21 \): \[ 19 + 21 = 40 \] ### Final Answer Thus, the final result of the expression \( 25 + 18 - 3 \times 7 \div 3 \) with the transformed operators is: \[ \boxed{40} \]
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