two years ago the mean age of 40 people was 11 years now a person left the group and the mean age is changed to 12 years .find the age of the person who left the group ?
Answers
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Here is the solution:
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Find the average age of the 40 people now:
Average age 2 years ago = 11
Average age now = 11 + 2 = 13
Find the sum of the age of the 40 people:
average = 13
sum = 13 x 40 = 520
Find the sum of the age of the 39 people:
Average = 12
Sum = 12 x 39 = 468
Find the age of the one that left the group:
Age of the person = 520 - 468 = 52
Answer: The age of that person is 52 years old
Mean age of 40 people was 11
let x be sum of all people of the group
x/40=11
x=440
let y be the weight of person leaving the group
x-y/39=12
as we know x=440
440-y= 468
y=28 years (we ignore the negation as it cannot be negative)
The person leaving the group has a weight of 28.
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