The average age of 30 boys in a class is 15 years. if we include the age of two teachers, the average age increases by 1. Find the sum of ages of the two teachers. (10 Points)55 years58 years62 years64 years
Question
The average age of 30 boys in a class is 15 years. if we include the age of two teachers, the average age increases by 1. Find the sum of ages of the two teachers. (10 Points)55 years58 years62 years64 years
Solution
To solve this problem, we need to follow these steps:
-
First, we find the total age of all the boys in the class. We do this by multiplying the average age by the number of boys. So, 30 boys * 15 years/boy = 450 years.
-
Then, we find the new total age when the teachers are included. We know that the average age increases by 1 when the teachers are included, and the total number of people is now 32 (30 boys + 2 teachers). So, the new total age is 32 people * 16 years/person = 512 years.
-
Finally, we subtract the total age of the boys from the new total age to find the combined age of the two teachers. So, 512 years - 450 years = 62 years.
So, the sum of the ages of the two teachers is 62 years.
Similar Questions
The average age of 24 boys and the teacher is 15 years. When the teacher’s age is excluded, the average decreases by 1. What is the age of the teacher?Options :38 years39 years40 yearsData inadequat
The average age of 10 students and their teacher is 15 years.The average age of the first seven students is 15 yr and that of the last three is 11 yr.What is the teacher's age?33 years30 years27 years24 yearsClear ResponseSave & Next
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years? Options : 51 49 47 none
The average age of a class of 15 students is 18 years. The average increases by 2 years, if the age of a teacher is included. What is the age of the teacher?a.55b.35c.45d.50
The average age of a class. Comprising 19 students, is 16 years. If the age of the teacher is added the average age of the class increases by 2 years. What is the age of the teacher?Options5659987565
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.