To solve this age problem, we first calculate the total age of the family three years ago. With 5 members and an average age of 17, their total age was 5 * 17 = 85 years.
Presently, these 5 members would have aged 3 years each, so their current total age is 85 + (5 * 3) = 100 years.
A baby is born, making the family size 6 members. The average age remains 17 years. Thus, the current total age of the 6 members is 6 * 17 = 102 years.
The present age of the baby is the difference between the total age of 6 members and the total age of the original 5 members: 102 - 100 = 2 years. Therefore, option 'A' is correct.
Distractors 'B', 'C', and 'D' result from incorrect calculations of total ages or misinterpreting the average age change.