the sum of three numbers in G.P. is 56. If we subtract 1,7,21 from these numbers in that order then we obtain an A.P. the three numbers is

Explanation

To solve the problem step by step, we will find the three numbers in a geometric progression (G.P.) given that their sum is 56 and that subtracting 1, 7, and 21 from these numbers results in an arithmetic progression (A.P.).

### Step 1: Define the G.P. terms
Let the three numbers in G.P. be:
- First term: \( a \)
- Second term: \( ar \)
- Third term: \( ar^2 \)

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