The sum of two numbers is 1000 and the difference between their squares is 256000. Find the numbers.

Explanation

To solve the problem, we need to set up a system of equations based on the information provided. Let's denote the two numbers as \( X \) and \( Y \).

### Step 1: Set up the equations
From the problem, we know:
1. The sum of the two numbers:
\[ X + Y = 1000 \quad \text{(Equation 1)} \]
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