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In a certain code language, '-' represen...

In a certain code language, '-' represents '+', '+' represents `'xx', 'xx'` represents `'div'` and `'div'` represents '-'. Find out the answer to the following question.
`27 - 9 + 3 - 3 div 3`

A

15

B

12

C

54

D

50

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we first need to decode the operations according to the code language provided: 1. **Identify the coded operations**: - `-` represents `+` - `+` represents `xx` (multiplication) - `xx` represents `div` (division) - `div` represents `-` 2. **Rewrite the expression**: The original expression is: \[ 27 - 9 + 3 - 3 \div 3 \] Replacing the coded operations, we get: \[ 27 + 9 \times 3 + 3 - 3 - 3 \] 3. **Follow the order of operations (BODMAS/BIDMAS)**: According to BODMAS/BIDMAS, we first perform multiplication and division from left to right, followed by addition and subtraction. 4. **Calculate the multiplication**: \[ 9 \times 3 = 27 \] Now the expression becomes: \[ 27 + 27 + 3 - 3 \] 5. **Perform the addition**: \[ 27 + 27 = 54 \] Now the expression is: \[ 54 + 3 - 3 \] 6. **Continue with the addition**: \[ 54 + 3 = 57 \] Now the expression is: \[ 57 - 3 \] 7. **Finally, perform the subtraction**: \[ 57 - 3 = 54 \] Thus, the final answer is: \[ \boxed{54} \]
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