A group has 6 students and 1 year ago, their average age was 16.5 years. If 1 more student is added in the group, the average age of the group remains same. Find the current age of new member.
1). 9.5 years
2). 11.5 years
3). 10 years
4). 10.5 years
Sum of ages of 6 students 1 year ago = 16.5 × 6 = 99
Sum of Current ages of 6 students = 99 + 6 × 1 = 105
Since the average remains same even after adding 1 more student:
∴ Sum of Current ages of 6 students = 16.5 × 7 = 115.5
∴ Age of new student = 115.5 - 105 = 10.5 years