A meter bridge with two resistances R_1 and R_2 as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50…

A meter bridge with two resistances $\displaystyle R_1$ and $\displaystyle R_2$ as shown in figure was balanced (null point) at $\displaystyle 40$ cm from the point $\displaystyle P$. The null point changed to $\displaystyle 50$ cm from the point $\displaystyle P$, when $\displaystyle 16 \Omega$ resistance is connected in parallel to $\displaystyle R_2$. The values of resistances $\displaystyle R_1$ and $\displaystyle R_2$ are $\displaystyle \_\_\_\_$.