Average age of Prasad family consisting of 5 members 3 years ago was 3...
3 yr ago, total age of 5 members = 5 x 35 = 175yr
At the time of birth of new baby the total age of family = 175 + (2 x 5) = 185yr
The present age of family = 185 + (1 x 6) = 191yr 3 yr, hence the average age of family = 191 + (3 x 6)/6 = 34 * 5/6
This question is part of UPSC exam. View all UPSC courses
Average age of Prasad family consisting of 5 members 3 years ago was 3...
Average Age of Prasad Family
The question states that the Prasad family consists of 5 members. Three years ago, the average age of the family was 35 years. One year ago, a baby was born into the family. We need to determine the average age of the family after the baby was born.
Given Information:
- Number of family members: 5
- Average age of the family 3 years ago: 35 years
- A baby was born in the family one year ago
Solution:
Step 1: Calculate the sum of ages 3 years ago
- Since the average age 3 years ago was 35, we can calculate the sum of ages 3 years ago by multiplying the average age by the number of family members.
- Sum of ages 3 years ago = Average age * Number of family members
- Sum of ages 3 years ago = 35 * 5 = 175 years
Step 2: Calculate the sum of ages 2 years ago
- One year has passed since the baby was born, so we need to calculate the sum of ages 2 years ago.
- The sum of ages 2 years ago is equal to the sum of ages 3 years ago plus the age of the baby.
- Sum of ages 2 years ago = Sum of ages 3 years ago + Age of baby
- Sum of ages 2 years ago = 175 years + 1 year (age of the baby) = 176 years
Step 3: Calculate the average age after the baby was born
- To find the average age after the baby was born, we need to divide the sum of ages 2 years ago by the number of family members.
- Average age after the baby was born = Sum of ages 2 years ago / Number of family members
- Average age after the baby was born = 176 years / 5 = 35.2 years
Final Answer:
The average age of the Prasad family, after the baby was born, is 35.2 years.
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.