The sum of three numbers m GP is 56. If we subtract 1.7,21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

Explanation

To solve the problem, we need to find three numbers in geometric progression (GP) whose sum is 56, and when we subtract 1, 7, and 21 from these numbers respectively, the resulting numbers form an arithmetic progression (AP).

### Step-by-Step Solution:

1. **Define the Numbers in GP**:
Let the three numbers in GP be \( a \), \( ar \), and \( ar^2 \). The sum of these numbers is given as:
\[
a + ar + ar^2 = 56
...