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?
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1st: x-1
2nd: x
3rd: x+1
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Equation:
sum = 1035
3x = 1035
x = 345
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1st: x-1 = 345
2nd: x = 346
3rd: x+1 = 347
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Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): 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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