The average age of a class of 33 students is 13 years. if one girl leaves the class,the average becomes 182/16years. what is the age of the girl?
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Answer:
364 - 342 = 22
Step-by-step explanation:
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Answered by
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Step-by-step explanation:
number of students = 33
sum of ages of students = y
average = 13
(sum of ages of students)/(number of students) = average
y/33 = 13
y = 13×33
y = 429
sum of ages of students = 429
If one girl leaves the class then the average becomes 182/16 yrs
now total number of students are 32
let age of girl = z
after one girl leaves the class then sum of ages of students = 429 - z
Now
(sum of ages of students)/(number of students) = average
(429-z) / 32 = (182/16)
429 - z = 32×(182/16)= 364
429 - z = 364
429 - 364 = z
z = 65
Age of girl = 65 years
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