The average age of a group of six children is 15 years. From the group, two children, whose ages were 3 years more and 5 years more than the average age, left. 4 new children, whose average age is 4 years more than the given average age, join the group. Find the new average age.
(a) 15 years
(b) 16 years
(c) 17 years
(d) 18 years
(e) 12 years
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I have given the answer below.
And that's 16 years
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Solution:
Total Students in the group = 6
Average age = 15 years
Sum of ages of all the students
Now two students left the group= 6-2= 4
Age of first Student => 15+3 = 18 years
Age of second Student => 15+5= 20 years
Now sum of ages of 14 students =90-20-18
=52years
After joining 4 new students ,total students in the group = 4+4=8
each student age is 15+4 = 19 years
Sum of ages of all the students
So,new average age
New Average age is 16 years.
Thus option B is correct.
Hope it helps you.
Total Students in the group = 6
Average age = 15 years
Sum of ages of all the students
Now two students left the group= 6-2= 4
Age of first Student => 15+3 = 18 years
Age of second Student => 15+5= 20 years
Now sum of ages of 14 students =90-20-18
=52years
After joining 4 new students ,total students in the group = 4+4=8
each student age is 15+4 = 19 years
Sum of ages of all the students
So,new average age
New Average age is 16 years.
Thus option B is correct.
Hope it helps you.
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