An inductor and a resistor are connected in series to an $AC$ source. The current in circuit is $500\, mA$, if the applied $AC$ voltage is $8 \sqrt{2} V$ at a frequency of $\frac{175}{\pi} Hz$ and the current in the circuit is $400\, mA$, if the same $AC$ voltage at a frequency of $\frac{225}{\pi} Hz$ is applied. The values of the inductance and the resistance are respectively