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)   (Show Source): You can put this solution on YOUR website!

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
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