Solution:

To find out the total number of people sitting in a line, we need to follow the given information step by step.

Given:

- P is sitting 13th from the left end of the line.
- Q is sitting 24th from the right end of the line.
- Q is 3rd left to P.

Let's draw a rough diagram to understand the given data more easily.

L1 L2 L3 L4 ... ... ... L12 P L14 ... ... ... ... ... ... ... ... ... ... ... ... ... ... L22 ... ... ... Q R22 R21 R20 ... ... ... ... ... ... ... ... ... ... ... ... ... ... R3 R2 R1

Here, L represents the left end of the line and R represents the right end of the line.

- From the given information, we know that P is sitting 13th from the left end of the line. So, the number of people sitting to the left of P is 12.
- Also, we know that Q is sitting 24th from the right end of the line. So, the number of people sitting to the right of Q is 23.

Now, we are given that Q is 3rd left to P. So, we can assume that Q is sitting to the immediate left of a person who is sitting to the immediate left of P. Let's assume that person is X.

L1 L2 L3 L4 ... ... ... L12 P Q X L15 ... ... ... ... ... ... ... ... ... ... ... ... ... ... L22 ... ... ... R3 R2 R1

- So, the number of people sitting between P and Q is (24 - 3 - 1) = 20.
- Therefore, the total number of people sitting in the line is (12 + 1 + 20 + 1 + 23) = 57.

Answer: The total number of people sitting in the line is 57.

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