Answer
$113_{four}$
Work Step by Step
Rightmost column:
$1+2=3_{ten}=3\times1=_{}3_{four}$
record the 3 (no carry):
$.\qquad \ \ $
$.\qquad \ \ 31_{four}$
$.\quad +\ \ \ 22_{four}$
$.\quad \_\_\_\_$
$.\qquad \ \ \ \ 3_{four}$
Next column:
$3+2=5=1\times4+1\times1=11_{four}$
record the 11:
$.\qquad \ \ $
$.\qquad \ \ 31_{four}$
$.\quad +\ \ \ 22_{four}$
$.\quad \_\_\_\_$
$.\qquad 113_{four}$
Check in base 10:
$13+10=23$
