SOLUTION: The sum of three consecutive odd integers is 1035. What are the numbers?

Question 539551: The sum of three consecutive odd integers is 1035. What are the numbers?
Found 3 solutions by stanbon, Alan3354, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The sum of three consecutive odd integers is 1035. What are the numbers?
---
1st: x-1
2nd: x
3rd: x+1
--------
Equation:
sum = 1035
3x = 1035
x = 345
----
1st: x-1 = 345
2nd: x = 346
3rd: x+1 = 347
================
Cheers,
Stan H.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1035/3 = 345, the middle number

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!
The sum of three consecutive odd integers is 1035. What are the numbers?

Let 1st odd integer be N

Then other 2 are: N + 2, and N + 4

We then have: N + N + 2 + N + 4 = 1,035

3N + 6 = 1,035

3N = 1,029

N, or 1st odd integer = , or

2nd odd integer = N + 2, or 343 + 2, or

3rd odd integer = N + 4, or 343 + 4, or

OR

Divide 1,035 by 3 to get middle odd integer

= 345

1st = middle - 2, or 345 - 2, or 343

3rd = middle + 2, or 345 + 2, or 347

You can do the check!!

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