SOLUTION: the average of three consecutive numbers is 9 what are the the integers

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Question 644323: the average of three consecutive numbers is 9 what are the the integers
Found 2 solutions by Alan3354, DrBeeee:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the average of three consecutive numbers is 9 what are the the integers
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8, 9 & 10

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = 1st number
Then a + 1 = 2nd number
And a + 2 = 3rd number
Their average is the sum/3
Sum = a + (a + 1) + (a + 2)
Sum = 3*a + 3
Average (3a + 3)/3 = 9
Solve for a yields
a = 8
Then the sequence is 8,9,10
Let's check this
Is ((8+9+10)/3 = 9)?
Is (27/3 = 9)?
Is (9 = 9)? Yes
Answer: The three consecutive numbers are 8, 9, and 10