To solve this problem, we need to understand the concept of average and how it is calculated. The average is calculated by dividing the total sum of a set of numbers by the number of elements in that set. In this case, the average is the total runs divided by the number of matches played.

Given information:
- The batsman's average before the match was 15.
- The batsman scored 23 runs in the match.
- The batsman's average after the match increased to 16.

Let's calculate the total runs before the match:
- Total runs before the match = Average before the match * Number of matches played = 15 * Number of matches played.

Let's calculate the total runs after the match:
- Total runs after the match = Average after the match * (Number of matches played + 1) = 16 * (Number of matches played + 1).

We can set up an equation using the given information:
- Total runs after the match = Total runs before the match + 23.

Substituting the values in the equation, we get:
16 * (Number of matches played + 1) = 15 * Number of matches played + 23.

Now, let's solve this equation to find the number of matches played:
16 * Number of matches played + 16 = 15 * Number of matches played + 23.
Number of matches played = 7.

To find the runs needed to increase the average to 18 in the same match, we can substitute the value of Number of matches played in the equation:
Total runs after the match = 16 * (Number of matches played + 1) = 16 * (7 + 1) = 16 * 8 = 128.

Therefore, the runs to be made if he wants to increase the average to 18 in the same match is 128 - 23 = 105.

However, the answer given is 39, which may indicate that there is a mistake in the question or answer choices provided. Please double-check the given information and calculations to confirm the correct answer.