SOLUTION: Hi the mean of 14 consecutive integers is 27.5.if the integers are in increasing order what is the mean of the largest 7 integers. thank you

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Question 987468: Hi
the mean of 14 consecutive integers is 27.5.if the integers are in increasing order what is the mean
of the largest 7 integers.
thank you
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x is the smallest; x+13 the largest
The sum of the 14 integers is 14x+91 (the sum of the integers from 1 to 13).
That equals the total, which is 27.5*14 (mean*n)=385
So 14x + 91=385
14x+294
x=21
x+13+34
The mean of the 7 largest is the mean of 28,29,30,31,32,33,34, and it is 31.