• Average age of a group of five students is 14 yr.
If a new student also admitted the group, new
average age becomes 13 yr. Find the age of new
student.
Answers
Answer:
Step-by-step explanation:
Since the average age of a group of 5 students is 10, hence we can conclude that the total age of the 5 students is 10×5=50
10
×
5
=
50
However,after 2 new students joined the group,the average age increased by 4
So, =10+4=14
n
e
w
a
v
e
r
a
g
e
a
g
e
=
10
+
4
=
14
The total number of students in a group is 7 after 2 new students joined in
So now we have to find the new total age of the 7 students and then minus it with the total age of the 5 students which is 50 in order to find their average age
So, total age for 7 people is= 7×14=98
7
×
14
=
98
So now we know that the total age at first was 50 but then after 2 new students join in,the total age became 98
So the 2 new students age is 98−50=48
98
−
50
=
48
And the average age of the 2 new students is 48÷2=24
48
÷
2
=
24
Therefore the answer is 24:)