The sum of three numbers in A.P. is 12 and the sum of their cubes is 288. Find the numbers.

Explanation

To solve the problem step by step, we will denote the three numbers in Arithmetic Progression (A.P.) as \( A - D \), \( A \), and \( A + D \).

### Step 1: Set up the equations based on the given information
We know:
1. The sum of the three numbers is 12:
\[ (A - D) + A + (A + D) = 12 \]
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