Question

Average age of 24 students is 30 years when 2 students left the group the average decreased by 1 year,if the age of first student is 6 more then the second student what is the age of second student

Answer 1

Answer:

38 yrs.

Step-by-step explanation:

Let the age of second student be x.

Age of first student = x + 6

Total age of 24 students = 30*24 = 720  ----- [1]

Since two students left the group and average age reduced by 1, the new details are

Number of students = 22

Average age of 22 students = 29.

=> Total age of 22 students = 29*22 = 638 -------- [2]

Subtracting [2] from [1] gives us the total age of 2 students who left

=> Total age of students who left=  720 - 638 = 82.

This should equal some of their individual ages.

=> x + 6 + x = 82

=> 2x + 6 = 82

=> 2x = 76

=> x = 38

The age of Second student = 38 yrs.

Age of First student = 38 + 6 = 44 yrs.