SOLUTION: The expression 2n+1 represents an odd integer. Write an expression to find three consecutive odd integers whose sum is 63. I know the answer to be 19, 21, and 23. If I use n+n

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The expression 2n+1 represents an odd integer. Write an expression to find three consecutive odd integers whose sum is 63. I know the answer to be 19, 21, and 23. If I use n+n      Log On


   



Question 1090992: The expression 2n+1 represents an odd integer. Write an expression to find three consecutive odd integers whose sum is 63.
I know the answer to be 19, 21, and 23. If I use n+n+2+n+4=63. I can't make the 2n+1 work.

Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The expression 2n+1 represents an odd integer. Write an expression to find three consecutive odd integers whose sum is 63.
I know the answer to be 19, 21, and 23. If I use n+n+2+n+4=63. I can't make the 2n+1 work.
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2n+1 is an odd number for all integers n.
You don't have to make it work.
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Write an expression to find three consecutive odd integers whose sum is 63.
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n + n+2 + n+4 = 63 The hard way
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n-2 + n + n+2 = 63 Better
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63/3 = 21, the middle integer, the Best way.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
n represents any integer as far as i know.

the odd number is represented by 2n + 1

that would be the first number.

the second odd number would be 2n + 3

the third odd number would be 2n + 5

you get 2n + 1 + 2n + 3 + 2n + 5 = 63

combine like terms to get 6n + 9 = 63

subtract 9 from both sides to get 6n = 54

divide both sides by 6 to get n = 9

when n = 9:

2n + 1 = 19

2n + 3 = 21

2n + 5 = 23