Final answer:
The average age of the family is calculated by adding the total ages of all family members and dividing by the number of family members. The correct calculation yields an average age of 32 years, which does not match any of the provided answer options.
Step-by-step explanation:
To calculate the average age of the family, we need to sum the ages of all family members and then divide it by the total number of family members. There are two grandparents, two parents, and three grandchildren in the family, which means there are 2 + 2 + 3 = 7 family members in total. Given the average ages, we can calculate the combined ages for each group:
- Combined age of the grandparents = 2 × 68 = 136 years
- Combined age of the parents = 2 × 35 = 70 years
- Combined age of the grandchildren = 3 × 6 = 18 years
Adding these together gives us the total age for the whole family:
Total combined age = 136 + 70 + 18 = 224 years
To find out the average, we divide this total by the number of family members (7):
Average age of the family = 224 ÷ 7 = 32 years
However, this answer does not match any of the options provided, making it likely that there was a mistake in formulating the options or in the question itself. This sometimes happens, and it's important to ensure that all calculations are correct and that the given options are verified.
Assuming that the calculations above are correct, none of the provided options, (a), (b), (c), or (d), match the computed average age of 32 years.