SOLUTION: the average of 9 consecutive numbers is 20 the largest of these numbers is ?

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Question 857442: the average of 9 consecutive numbers is 20 the largest of these numbers is ?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The average of 9 consecutive numbers is 20, therefore the sum is 9*20 = 180
let x be the first number, then
x+(x+1)+(x+2)+(x+3)+(x+4)+(x+6)+(x+7)+(x+8) = 180
9x+36 = 180
9x = 144
x = 16
our numbers are
16, 17, 18, 19, 20, 21, 22, 23, 24
the largest number is 24