The average age of a family of five members, five years ago, was $36$ years. During these five years, the family adopted a child. Currently, the average age of the family remains the same as it was five years ago. What is the present age of the adopted child?

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**Solution:**

1. Calculate the total age of the family five years ago:
   - Average age = $36$ years
   - Number of members = $5$
   - Total age = $36 	imes 5 = 180$ years

2. Calculate the total age of the original family members at present:
   - Each member has aged $5$ years, so total increase in age = $5 	imes 5 = 25$ years
   - Total age now (without the child) = $180 + 25 = 205$ years

3. Let the present age of the adopted child be $x$ years.

4. The current family size is $6$ members (original 5 + 1 child).

5. Given that the current average age is the same as five years ago, i.e., $36$ years.

6. So, total current age of family = $36 	imes 6 = 216$ years.

7. Using the total age equation:
   $$205 + x = 216$$

8. Solve for $x$:
   $$x = 216 - 205 = 11$$

**Answer:** The present age of the child is $11$ years.

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