If $+$ means $-$, $-$ means $ imes$, $ imes$ means $\div$, and $\div$ means $+$, what will be the value of the following expression?

$$ 45 imes 9 \div 12 - 5 + 3 $$

Question

If $+$ means $-$, $-$ means $	imes$, $	imes$ means $\div$, and $\div$ means $+$, what will be the value of the following expression?

$$ 45 	imes 9 \div 12 - 5 + 3 $$

Accepted Answer

**Solution:**

1. Replace the operators according to the given rules:
   - $+$ means $-$
   - $-$ means $	imes$
   - $	imes$ means $\div$
   - $\div$ means $+$

2. Original expression:
   $$ 45 	imes 9 \div 12 - 5 + 3 $$

3. Replace operators:
   - $	imes$ becomes $\div$
   - $\div$ becomes $+$
   - $-$ becomes $	imes$
   - $+$ becomes $-$

So the expression becomes:
   $$ 45 \div 9 + 12 	imes 5 - 3 $$

4. Evaluate step-by-step using BODMAS:
   - Division first:
     $$ 45 \div 9 = 5 $$

- Expression now:
     $$ 5 + 12 	imes 5 - 3 $$

- Multiplication next:
     $$ 12 	imes 5 = 60 $$

- Expression now:
     $$ 5 + 60 - 3 $$

- Addition:
     $$ 5 + 60 = 65 $$

- Expression now:
     $$ 65 - 3 $$

- Subtraction:
     $$ 65 - 3 = 62 $$

**Answer:** $62$

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