The sum of three numbers in 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 results form an arithmetic progression (AP).

### Step-by-Step Solution:

1. **Define the Terms of GP:**
Let the first term of the GP be \( a \) and the common ratio be \( r \). Therefore, the three terms in GP can be expressed as:
- First term: \( a \)
- Second term: \( ar \)
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