Find two positive numbers x and y such that
x+y=64 and `x^3+y^3` is minimum.

Explanation

To solve the problem of finding two positive numbers \( x \) and \( y \) such that \( x + y = 64 \) and \( x^3 + y^3 \) is minimized, we can follow these steps:

### Step 1: Express \( y \) in terms of \( x \)
Given the equation \( x + y = 64 \), we can express \( y \) as:
\[ y = 64 - x \]

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