The sum of three numbers in A.P. is 27 and the sum of their squares is 293 . Find the numbers.

Explanation

To solve the problem, we need to find three numbers in Arithmetic Progression (A.P.) given that their sum is 27 and the sum of their squares is 293. Let's denote the three numbers as \( a - d \), \( a \), and \( a + d \).

### Step-by-Step Solution:

1. **Set Up the Equations:**
The sum of the three numbers can be expressed as:
\[
(a - d) + a + (a + d) = 27
...