The mean of the ages of five friends is 16 years. If three of them are of the same age and theother two are of 14 and 18 years, then the age of each friends having the same age isA. 12 years.B. 16 years.C. 18 years.D. 20 years
Question
The mean of the ages of five friends is 16 years. If three of them are of the same age and theother two are of 14 and 18 years, then the age of each friends having the same age isA. 12 years.B. 16 years.C. 18 years.D. 20 years
Solution
To solve this problem, we first need to understand that the mean is calculated by adding all the values together and then dividing by the number of values.
Step 1: We know that the mean age of the five friends is 16 years. So, the total age of the five friends is 16 years * 5 = 80 years.
Step 2: We also know that two of the friends are 14 and 18 years old. So, the combined age of these two friends is 14 years + 18 years = 32 years.
Step 3: To find the total age of the three friends who are the same age, we subtract the combined age of the two friends from the total age of all five friends. So, 80 years - 32 years = 48 years.
Step 4: Since the three friends are the same age, we divide the total age of these three friends by 3 to find the age of each friend. So, 48 years / 3 = 16 years.
So, each of the three friends is 16 years old. The answer is B. 16 years.
Similar Questions
The mean of the ages of five friends is 16 years. If three of them are of the same age and theother two are of 14 and 18 years, then the age of each friends having the same age isA. 12 years.B. 16 years.C. 18 years.D. 20 years.9. For the data set 4, 0, 4 and 0, the variance isA. 0B. 1C. 2D. 4
The average age of a group of 4 friends is 36 years.The youngest friend amongst them is 6 years old.What was the average age of the group at the time of the birth of the youngest friend?
If the ratio of the ages of two persons is 3:5 and their ages differ by 18 years, what is the age of the younger person?a) 12 yearsb) 15 yearsc) 18 yearsd) 21 years
Average age of 5 people is 42 years.Another group has 8 people who have average age of 81 years.When both groups are mixed what is average age of all people?64 years66 years61.5 years70 years
The average age of 3 people A, B, and C, five years ago, was 20 years. The average age of B and C three years ago was 24.5 years. Find A’s present age. (in years)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.