Question

If $9859 - 7924 = 8765 - x$, then the value of $x$ is

• A. 6820
• B. 6832
• C. 6823
• D. 6830

Hint:

Always simplify one side fully before solving equations.

Answer 1

The Correct Option is D

To solve the problem \(9859 - 7924 = 8765 - x\), we will use the basic principles of algebraic equation balancing. Let's follow the steps below:

1. First, calculate the value on the left side of the equation:
   • \(9859 - 7924 = 1935\)
2. Now, equate this result to the right side of the equation:
   • \(1935 = 8765 - x\)
3. To find the value of \(x\), rearrange the equation:
   • \(x = 8765 - 1935\)
4. Now, perform the subtraction to find the value of \(x\):
   • \(x = 6830\)
5. Thus, the value of \(x\) is 6830.

By calculating step-by-step, we confirm that the correct option is 6830, matching the provided correct answer.

This method used here is straightforward and involves only basic operations like subtraction and equation rearrangement, which are essential skills for many quantitative aptitude problems.