The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 years. The average age of new students is:Options :15.2 years16 years16.2 years16.4 years
Question
The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 years. The average age of new students is:Options :15.2 years16 years16.2 years16.4 years
Solution
The total age of 40 students is 40*15 = 600 years.
When 10 new students are admitted, the total number of students becomes 50 and the average age increases to 15.2 years. So, the total age of all students is now 50*15.2 = 760 years.
The total age of the 10 new students is the total age of all students minus the total age of the 40 original students, which is 760 - 600 = 160 years.
Therefore, the average age of the new students is the total age of the new students divided by the number of new students, which is 160/10 = 16 years.
So, the correct option is 16 years.
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