Answer:
So, age of fourth child is 15
Explanation:
Given:
Average age = 15
Age of three children = 19 , 14 , 12
To Find:
Age of fourth child = ?
Solution:
From the given data we can see that there are total four children of Berger
So
Total Children = 4
Now let the age of fourth child be x
We know that
Average
![=(Sum)/(Total No)](https://img.qammunity.org/2020/formulas/mathematics/high-school/b4k5nks4u153occyxg5gsy7xrgpi9srgc7.png)
Putting in the values
15
![=(19+14+12+x)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/khzriofbybhi1e60jcq860d8ji54haavsw.png)
Multiplying both sides by 4
15*4
![=(19+14+12+x)/(4)*4](https://img.qammunity.org/2020/formulas/mathematics/high-school/j8nuu7ubgdqqln9k8iuo7qqpzij9asrvdx.png)
it gives us
60 = 19+14+12+x
60 = 45 + x
subtracting 45 from both sides
60-45 = 45+x-45
15= x
or x=15
So age of fourth child is 15