Question 21115
Let x be the our required odd number.
Since the two integers are consecutive, the other number is x+2.

Given that, 2(greater number)=3(lesser number)-13.

2(x+2)=3x-13
2x+4=3x-13
Subtract 2x and add 13 on both sides,
2x+4-2x+13=3x-13-2x+13
17=x

Therefore x = 17.

The other number is x+2 = 19.

Hence the intergers are 17 and 19.