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
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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.
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