Simplify the decimal expression 534.596 + 61.472 − 496.708 = ? + 27.271 and determine the value that should replace the question mark so that the equality holds true.

Introduction / Context:
This question checks decimal arithmetic and rearranging an equation to solve for an unknown. Such problems are common in bank exams and quantitative aptitude tests where precision with decimal addition and subtraction is essential.

Given Data / Assumptions:

• The equation given is 534.596 + 61.472 − 496.708 = ? + 27.271.
• All numbers are decimal values that must be handled accurately.
• We need to solve for the unknown value represented by the question mark.

Concept / Approach:
The approach is to compute the left hand side completely and then isolate the unknown on the right hand side. Algebraically, if A = ? + B, then ? = A − B. Here A is the total we get from the left hand side and B is 27.271. Careful alignment of decimal places is important for correct results.

Step-by-Step Solution:
First, compute the left hand side: 534.596 + 61.472 − 496.708.Add 534.596 and 61.472: 534.596 + 61.472 = 596.068.Subtract 496.708 from 596.068: 596.068 − 496.708 = 99.360.So the equation becomes 99.36 = ? + 27.271.Isolate ?: ? = 99.36 − 27.271 = 72.089.

Verification / Alternative check:
To verify, substitute ? = 72.089 back into the equation. The right hand side becomes 72.089 + 27.271 = 99.360. This matches the computed left hand side of 99.360, confirming that the equality holds. A quick mental check of the subtraction also helps: subtract 27 from about 99 to get around 72, then adjust by the decimal 0.271, which leads neatly to 72.089.

Why Other Options Are Wrong:

• 126.631 and 132.788 are far larger than the correct value and do not satisfy the equation when substituted.
• 62.069 is smaller than the correct answer and would give a right hand side sum less than 99.36.
• 80.000 would give 80 + 27.271 = 107.271, which does not equal 99.36.

Common Pitfalls:

• Incorrect order of operations, such as subtracting before adding the first two decimals.
• Misalignment of decimal places when adding or subtracting, especially with three decimal digit numbers.
• Forgetting to subtract 27.271 from the left hand side total when solving for the unknown.

Final Answer:
72.089