SOLUTION: Solve. Please show all of your work. If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three i

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Solve. Please show all of your work. If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three i      Log On

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Question 450910: Solve. Please show all of your work.
If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers.
Answer by stanbon(57387) About Me  (Show Source):
You can put this solution on YOUR website!
If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers.
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1st: 2x-1
2nd: 2x+1
3rd: 2x+3
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Equation:
2x-1+2x+3 = 5(2x+1)-69
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4x+2 = 10x-64
6x = 66
x = 11
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1st: 2x-1 = 21
2nd: 2x+1 = 23
3rd: 2x+3 = 25
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Cheers,
Stan H.