If `x+y=2500` and `x-y=2500` then the value of `x` is:

Options

A. 2500
B. 5000
C. 3000
D. 4000

Answer

To solve the equations \( x + y = 2500 \) and \( x - y = 2500 \) for the value of \( x \), follow these steps:

### Step 1: Write down the equations
We have two equations:
1. \( x + y = 2500 \) (Equation 1)
2. \( x - y = 2500 \) (Equation 2)

### Step 2: Add the two equations
Add Equation 1 and Equation 2 together:
\[ (x + y) + (x - y) = 2500 + 2500 \]
This simplifies to:
\[ x + y + x - y = 5000 \]
The \( y \) terms cancel out:
\[ 2x = 5000 \]

### Step 3: Solve for \( x \)
Now, divide both sides by 2 to isolate \( x \):
\[ x = \frac{5000}{2} \]
Calculating this gives:
\[ x = 2500 \]

### Conclusion
Thus, the value of \( x \) is \( 2500 \).

---