Find ${\text{f}}_{\text{1}}{\text{,f}}_{\text{2}}$ and T in the given diagram

let us assume system moves forwards right

${\text{F}}_{\text{net}}=10-5=5\text{N}$

${\text{f}}_{\text{r}}\text{existing}={\mu }_1{\text{N}}_{\text{1}}+{\mu }_2{\text{N}}_{\text{2}}$

$=0.1\times 20+0.2\times 30$

$=2+6=8\text{N}$

${\text{F}}_{\text{resistance}}>{\text{F}}_{\text{net}}$ Therefore system is stationary

The friction${\text{f}}_{\text{2}}$  is

${\text{f}}_{\text{2}}=6\text{N}$ towards left

Assumes friction on one block is static other block should be limiting

$\text{10}=\text{T}+\text{6}$

$\text{T}=4\text{N}$

From FBD of B$\text{T}+{\text{f}}_1=5$

${\text{f}}_{\text{1}}=5-\text{T}=5-4=\text{1N}$ towards right