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If + stands for xx,- for div,xx for - an...

If + stands for `xx,-` for `div,xx` for - and `div` for +, find the value of `32+26-2xx7div12:`

A

420

B

421

C

400

D

315

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression `32 + 26 - 2 xx 7 div 12` with the given substitutions, we will first replace the symbols according to the rules provided: 1. **Replace the symbols:** - `+` stands for `xx` (multiply) - `-` stands for `div` (divide) - `xx` stands for `-` (subtract) - `div` stands for `+` (add) So, the expression `32 + 26 - 2 xx 7 div 12` becomes: - `32 xx 26 div 2 - 7 + 12` 2. **Now, let's rewrite the expression with the substitutions:** - `32 xx 26` becomes `32 - 26` - `div 2` becomes `+ 2` - `- 7` becomes `div 7` - `+ 12` becomes `- 12` Thus, the expression now reads: - `32 - 26 + 2 - 7 + 12` 3. **Now, we will solve the expression step by step following the order of operations (BODMAS/BIDMAS):** - First, calculate `32 - 26`: - `32 - 26 = 6` - Now, substitute this back into the expression: - `6 + 2 - 7 + 12` - Next, calculate `6 + 2`: - `6 + 2 = 8` - Substitute this back: - `8 - 7 + 12` - Now, calculate `8 - 7`: - `8 - 7 = 1` - Substitute this back: - `1 + 12` - Finally, calculate `1 + 12`: - `1 + 12 = 13` Thus, the final value of the expression is **13**.
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