SOLUTION: 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 427101: 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x, (x+2) and (x+4) represent the consecutive odd Integers respectively

Question states***

 x + (x+4) = 5(x+2) - 69

Solving for x

   2x + 4 = 5x - 59

        63 = 3x

        21 = x   The consecutive odd Integers are 21,23,25

CHECKING our Answer***

  46 = 5*23 - 69 = 115-69  = 46