the average age of 40 students of a class is 15 years. An 18 year okd student left the class and a new student was admitted. As a result the average age fell to 14.885 years. Find the age of the new student.
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Answer:
13.4 years or 13 years 5 months and 6 days
Step-by-step explanation:
let the sum of 40 students be x
then, sum of observations/total no. of observations = average
x/40 = 15
x = 15*40 = 600
so the sum of ages of the students is 600 years
after a student leaving the the school , the sum of ages of the students = (600-18)years = 582 years
let the age of new student who joined the school after leaving of one student be y
then ATP,
(582+y)/40 = 14.885
582 + y = 14.885*40 = 595.4
y = 595.4-582 = 13.4 years or 13 years 5 months and 6 days
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