The sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers.

Explanation

To solve the problem step by step, we can follow these instructions:

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

### Step 2: Set Up the Equations
From the problem, we know:
1. The sum of the two numbers is 16:
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