The rational number r that becomes $$\frac{1}{2}$$ when 1 is subtracted from the numerator and becomes $$\frac{3}{5}$$ when 1 is subtracted from the denominator is

A

$$\frac{17}{32}$$

B

$$\frac{15}{26}$$

C

$$\frac{13}{24}$$

D

$$\frac{9}{16}$$