The sums of n terms of two AP's are in the ratio `(3n-13):(5n+21).` Find the ratio of their 24th terms.

Explanation

To solve the problem, we need to find the ratio of the 24th terms of two arithmetic progressions (APs) based on the given ratio of their sums of n terms.

### Step-by-Step Solution:

1. **Understanding the Sums of n Terms of APs:**
The sum of the first n terms of an AP is given by the formula:
\[
S_n = \frac{n}{2} \left(2a + (n-1)d\right)
...