SOLUTION: find three positive consecutive odd intergers such that the largest decreased by three times the second is 47 less than the smallest

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Question 384989: find three positive consecutive odd intergers such that the largest decreased by three times the second is 47 less than the smallest
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,         

Let x, (x+2)and (x+4) represent the three positive consecutive odd intergers

Write as we Read***

(x+4) - 3(x+2) = x -47

solving for x

 -2x -2 = x - 47

    45 = 3x

    15 = x

 15, 17 and 19 are the three positive consecutive odd intergers



CHECKING our Answer

 19 - 3*17 = -32 = 15-47