Exactly four years ago the Moloto family had 4 members, and their average age was 22. The

Moloto’s then adopted another child. If the average age of the family today is 24, at what age
was the child adopted, given that he was adopted exactly two years ago?

The child was adopted at the age of 19

4 years ago, the average age was 22. So, now it is 26. After the adoption, since the average age now is 24, The new kid is x years old, where

26*4+x = 24*5
x = 16

So, he was 14 when adopted 2 years ago.

To solve this problem, we need to understand the concept of average age and how it changes when a new member is added to a family.

Let's break down the information provided:
- Four years ago, the Moloto family had 4 members, and their average age was 22.
- The Moloto's adopted another child exactly two years ago.
- The current average age of the family is 24.

Initially, we had 4 family members and an average age of 22. This means the total age of the family members was 4 * 22 = 88 years.

Now, let's consider the situation after the adoption. At that time, the family still had 4 members since the child was adopted two years ago and two years have passed since then. So, the child is included in the average age calculation.

Since the current average age of the family is 24, it means the total age has increased. With the child's age included, let's denote the child's age at the time of adoption as x.

So, we have a new total age = previous total age + x. It can be represented as:
88 + x = 24 * 5 (since there are 5 family members now, including the added child)

Simplifying the equation:
88 + x = 120
x = 120 - 88
x = 32

Therefore, the child was adopted at the age of 32.