SOLUTION: 9 consecutive numbers add up to 90. what is the highest of these numbers?

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Question 1074564: 9 consecutive numbers add up to 90. what is the highest of these numbers?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
9 is odd. If middle number is n, then the first four are n-4, n-3, n-2, n-1.


9n=90
highlight_green%28n=10%29------the middle number


The highest of the nine numbers is n%2B4=highlight%2814%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
9 consecutive numbers add up to 90. what is the highest of these numbers?
This scenario represents an AP with d, or common difference of 1
When calculated the 1st term, or a%5B1%5D = 6
With 6 being a%5B1%5D or the 1st number, and with d, or common difference of 1, the LARGEST of the 9 numbers is: highlight_green%2814%29