The average age of 8 children of a family is 12 yr. if the age of 7 children are 12, 8, 14, 11, 9, 13 and 15 yr, then the age of 8th child will be

General
1

the average age of 8 children of a family is 12 yr. if the age of 7 children are 12, 8, 14, 11, 9, 13 and 15 yr, then the age of 8th child will be

2

To find the age of the 8th child, we can use the formula for calculating the average age. The average age is determined by dividing the sum of the ages of all the children by the total number of children.

In this case, we know that the average age of the 8 children is 12 years. Let’s calculate the sum of the ages of the 7 known children:

12 + 8 + 14 + 11 + 9 + 13 + 15 = 82

Now, we can calculate the age of the 8th child. Since the average age is obtained by dividing the sum of the ages by the total number of children, we can set up an equation:

(82 + x) / 8 = 12

Here, x represents the age of the 8th child. We want to solve for x.

Multiplying both sides of the equation by 8:

82 + x = 96

Subtracting 82 from both sides:

x = 14

Therefore, the age of the 8th child is 14 years.