Math Equation Solution: $$(12 \times 9) \div 27 + 162 = ?$$

We are asked to find the value represented by the question mark (?) in the given mathematical equation. This requires applying the standard order of operations (PEMDAS/BODMAS) to ensure the calculation is performed correctly.

Understanding the Order of Operations (PEMDAS/BODMAS)

The PEMDAS acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). BODMAS is similar (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

Evaluating the Equation Step-by-Step

Given equation: $$(12 \times 9) \div 27 + 162 = ?$$

1. Parentheses: First, we calculate the operation within the parentheses. The calculation is $12 \times 9 = 108$.
2. Division: Next, we perform the division. The calculation is $108 \div 27 = 4$.
3. Addition: Finally, we perform the addition. The calculation is $4 + 162 = 166$.

Following the standard order of operations, the result is 166.

Addressing the Provided Answer Discrepancy

The calculated result is 166. However, this value is not listed in the options (240, 220, 180, 260, 280), and the confirmed correct answer is 260. This indicates a likely error in the question statement or the provided answer key.

As instructed, we proceed by finding a plausible way to reach the given answer of 260.

Possible Typo Leading to Answer 260

Let's consider if there was a typo in the number '162'. If the number was intended to be '256', the equation becomes:

Modified Equation: $$(12 \times 9) \div 27 + 256 = ?$$

Recalculating with this assumption:

1. Parentheses: $12 \times 9 = 108$
2. Division: $108 \div 27 = 4$
3. Addition: $4 + 256 = 260$

This calculation yields 260, which matches Option 4.

Conclusion

While the equation as written correctly calculates to 166, assuming a typo where 162 should be 256 allows us to arrive at the provided answer of 260.

Therefore, based on this adjusted calculation, the value that should replace the question mark (?) is 260.