The average age of a group of 10 students is 20 years. If 4 more students join the group, the average age increases
by 2 year. What is the average age of the new students?
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Step-by-step explanation:
The average age of a group of 10 students = 20 years
Sum of the ages of these 10 students = 10 × 20 = 200 years.
when 4 more students joined the average age is increased by = 2 years
Hence the average age becomes 22 years and total students become 14.
Therefore, the sum of the ages of the 14 students= 14 × 22= 308 years
So, the difference between the sum of the ages of 14 students and 10 students = 308 - 200= 108 years
Sum of the ages of the 4 new students = 108 years.
Average age of the 4 new students = 108/4 = 27 years... ANS
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