Find two numbers whose sum is 24 and whose product is as large as possible.

Explanation

To find two numbers whose sum is 24 and whose product is as large as possible, we can follow these steps:

### Step 1: Define the variables
Let the two numbers be \( x \) and \( y \).

### Step 2: Set up the equation for the sum
According to the problem, we have:
\[
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