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The representation of an odd integer is 2n + 1. So the other consecutive odd integer will be 2n + 3,[(2n + 1) + 2]. Thus, we have:

2(2n + 3) + 13 = 3(2n + 1)

4n + 6 + 13 = 6n + 3 subtract 4n and 3 to both sides

16 = 2n divide by 2 to both sides

8 = n

2n + 1 = 2(8) + 1 = 16 + 1 = 17

2n + 3 = 2(8) + 3 = 16 + 3 = 19

Therefore, theses numbers are 17 an 19.

Check:

3(17) - 2(19) = 13 ?

51 - 38 = 13?

13 = 13 True

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