If the difference between the reciprocal of two consecutive odd numbers is 2255, then the two consecutive odd numbers are () A. 13，15B. 15，17C. 17，19D. 19，21

If the former reciprocal is x, then the latter is x + 2, then the difference between their reciprocal is: 1 X-1 x + 2 = x + 2 − XX (x + 2) = 2 x (x + 2), and 2 255 = 215 × 17, that is, these two consecutive odd numbers are 15,17

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