What value will replace the question mark in the following equation? $x - 1936248 = 1635773$
Aptitude
Number System
Difficulty: Easy
Choose an option
-
A3572021
-
B3571021
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C3562021
-
D300475
Answer
Correct Answer: 3572021
Explanation
### Concept & Formula
This is a fundamental linear equation in one variable. To isolate the unknown variable $x$, you transpose the known constant to the opposite side of the equation, which inverts its mathematical sign (subtraction becomes addition).
### Step-by-Step Solution
* **Given:** $x - 1936248 = 1635773$
* **Calculation:** Transpose the negative term to the right side of the equation to isolate $x$:
$$ x = 1635773 + 1936248 $$
* Add the two values:
$$ x = 3572021 $$
### Exam Strategy & Shortcut
To quickly verify or eliminate options without doing the full addition, check the last two digits. The last two digits of the addends are $73$ and $48$. $73 + 48 = 121$. The correct answer must end in **21**. If multiple options end in 21, check the first few digits: $16 + 19 = 35$. The answer is roughly 3.5 million.
### Common Pitfall
A frequent mistake under time pressure is subtracting the numbers instead of adding them when moving the negative value across the equals sign, incorrectly leading to $1936248 - 1635773$.
### Final Answer
Therefore, the correct answer is **3572021**.