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if '+' mean 'div', 'xx' mean '-' , 'div...

`if '+' mean 'div', 'xx' mean '-' , 'div' mean '+' and '-' means 'xx' then`
`16 div 8 xx 6 -2+12=?`

A

22

B

24

C

23

D

120

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 16 \div 8 \, xx \, 6 \, - \, 2 \, + \, 12 \) with the given meanings of the operations, we will first replace the operations according to the provided definitions: 1. **Replace the operations:** - \( + \) means \( \div \) - \( xx \) means \( - \) - \( \div \) means \( + \) - \( - \) means \( xx \) Therefore, the expression \( 16 \div 8 \, xx \, 6 \, - \, 2 \, + \, 12 \) becomes: \[ 16 + 8 - 6 \, xx \, 2 \, \div \, 12 \] 2. **Rewrite the expression:** Now, substituting the operations, we get: \[ 16 + 8 - 6 \, xx \, 2 \, \div \, 12 \] 3. **Evaluate the expression step by step:** - First, we will perform the addition: \[ 16 + 8 = 24 \] - Now, the expression becomes: \[ 24 - 6 \, xx \, 2 \, \div \, 12 \] - Next, we perform the subtraction: \[ 24 - 6 = 18 \] - Now, the expression becomes: \[ 18 \, xx \, 2 \, \div \, 12 \] - Now, we will perform the multiplication (which is represented by \( xx \)): \[ 18 \, xx \, 2 = 36 \] - Now, the expression becomes: \[ 36 \div 12 \] - Finally, we perform the division: \[ 36 \div 12 = 3 \] 4. **Final Result:** Therefore, the final answer is: \[ \text{The value is } 3. \]
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