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Submitted by Danavanana on Tue, 2012-03-13 19:35
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# Find three positive consecutive odd integers such that the largest decreased by three times the second is 23 less than...

Find three positive consecutive odd integers such that the largest decreased by three times the second is 23 less than the smallest

Submitted by Andrein on Tue, 2012-03-13 21:17
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xxx xxx three consecutive odd xxxxxxx be xx b and xx We will have xxx following xxxxxxxxxx

a x b x x

b = c x 2

If xx xxxxxxx x in the first xxxxxxxx xxxx xxx xxxxx xx xxx xxxxxx we will have:

x = (c + 2) + 2 x>

x x x + 4

.

xxxx xxx xxxxxxxxxx xx have :

x x 3 x x x x x 23

x

If xxx xxx xxxxxxx xxx xxxx xx + xx xxxx xxx xxxxxxxx above xxx xxx with xx x xx xxxx xxx equation xxxx xxx xxxxxxxxxx we xxxx have:

xx + 4) - x * xx x 2) x x x xx x>

c + x x 3 * c x 3 * 2 x c - 23 x>

x - x x c x 4 - 6 = x -

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