the avarge age of a group of 5 students was 10 the avarge age incresed by 4 years when 2 new students jioned the group what is the avarage age of the two new students who jioned the group
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Given:
Average age of 5 students = 10
To Find:
Average age of two new students who joined.
Solution:
The average of 5 students = 10
Average = Total age/total number of students
- From the given statement we can conclude
10= total age/ 5
- Thus, the total age of the 5 students = 10 × 5 = 50
- Now, 2 new students have joined, and average is increased by 4
- Then,
Total number of students = 7
New average = 10 + 4 = 14
New total age of 7 students = 14 × 7
= 98
- Now, we know that before the addition of 2 new students the total age was 50 but with their addition it has become 98, so the difference of the two will be their total age.
Total age of 2 new students = 98 - 50
= 48
The average age of the two new students = 48/2
= 24
Thus, 24 is the average age of the Two new students.
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