the average age of a group of 9 children is 15 years and that of a group of a group og 7 children is 13 years.find the average age of the group of the 16 boys.
Answers
Step-by-step explanation:
Total age of 10 students = 150 years
Total age of 15 students = 240 years
Total age of 5 new students = 240 - 150 = 90 years
\inline \therefore Average age of 5 new students = = 18 years
Given:
✰ The average age of a group of 9 children = 15 years
✰ The average age of a group of 7 children = 13 years
To find:
✠ The average age of the group of 16 children.
Solution:
Let's understand the concept first! As we are provided with the average age of group of 9 children and the group of 7 children. First we will find the sum of age of 9 children and then the sum of age of seven children, then we will add them both. After that we know there are a total 16 children, so we will divide the sum of the age by the number of children to find the average age of all the children of the 16 children.
Let's find out...✧
➛ The average age of a group of 9 children = 15 years
➛ The sum of age of a group of 9 children = 15 × 9
➛ The sum of age of a group of 9 children = 135 years
➛ The average age of a group of 7 children = 13 years
➛ The sum of age of a group of 7 children = 13 × 7
➛ The sum of age of a group of 7 children = 91 years
➛ The sum of age of the group of 16 children = 135 + 91
➛ The sum of age of the group of 16 children = 226 years
Finally,
➤ The average age of the group of 16 children = 226/16
➤ The average age of the group of 16 children = 14.125 years
∴ The average age of the group of 16 children = 14.125 years
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