The average age of 8 members of a group is 36 years. The age of the eldest member is 32 years. If we exclude that eldest member from the group, then what will be the average age (in years) of the remaining members?

Options

A. `38.5`
B. `42.67`
C. `48.5`
D. `36.57`

Answer

To solve the problem, we will follow these steps:

### Step 1: Calculate the total age of the 8 members.
The average age of the group is given as 36 years, and there are 8 members.

\[ \text{Total age of 8 members} = \text{Average age} \times \text{Number of members} = 36 \times 8 = 288 \text{ years} \]

### Step 2: Subtract the age of the eldest member.
The age of the eldest member is given as 32 years. We will subtract this from the total age calculated in Step 1.

\[ \text{Total age of remaining 7 members} = \text{Total age of 8 members} - \text{Age of eldest member} = 288 - 32 = 256 \text{ years} \]

### Step 3: Calculate the average age of the remaining members.
Now that we have the total age of the remaining 7 members, we can find their average age.

\[ \text{Average age of remaining 7 members} = \frac{\text{Total age of remaining 7 members}}{\text{Number of remaining members}} = \frac{256}{7} \approx 36.57 \text{ years} \]

Thus, the average age of the remaining members is approximately 36.57 years.

### Final Answer:
The average age of the remaining members is approximately **36.57 years**.

---