Explanation:

- Let’s break down the information given:

- The average of a, b, and c is 8 less than d.

- This can be expressed as: (a + b + c)/3 = d - 8.

- The average of a, b, c, and d is 42, so: (a + b + c + d)/4 = 42.

- Solving for the sum of a, b, c, and d gives: a + b + c + d = 168.

- Now, let's find a + b + c using the expressions:

- a + b + c = 3d - 24 (derived from the first equation).

- Combine with the total equation: 3d - 24 + d = 168.

- Solution: 4d = 192 ? d = 48.

- To find the average for (3d - 2) and (d + 5):

- Calculate: 3(48) - 2 = 142 and 48 + 5 = 53.

- Their average is: (142 + 53)/2 = 97.5.

- Correct Answer: Option 2: 97.5