SOLUTION: Solve, show all 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.

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Question 427265: Solve, show all 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 robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x, x+2, x+4
==> x+(x+4) = 5(x+2)-69
==> 2x + 4 = 5x + 10 - 69
==> 2x + 4 = 5x - 59
==> 63 = 3x
==> x = 21, the 1st odd integer.
23, the second,
25, the last odd integer.