Maria starts at the origin and walks along all of the vector $2oldsymbol{i} + 3oldsymbol{j}$, then walks along all of the vector $3oldsymbol{i} - 2oldsymbol{j}$ and finally along all of the vector $4oldsymbol{i} - 3oldsymbol{j}$ - HSC - SSCE Mathematics Extension 1 - Question 4 - 2020 - Paper 1

From position (2, 3), after walking along the vector $3\boldsymbol{i} - 2\boldsymbol{j}$, Maria's position updates to:
$(2 + 3, 3 - 2) = (5, 1)$

From position (5, 1), after walking along the vector $4\boldsymbol{i} - 3\boldsymbol{j}$, Maria's final position becomes:
$(5 + 4, 1 - 3) = (9, -2)$

To find the distance from the origin (0,0) to the point (9,-2), we use the distance formula:
$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(9 - 0)^2 + (-2 - 0)^2}$
This simplifies to:
$d = \sqrt{9^2 + (-2)^2} = \sqrt{81 + 4} = \sqrt{85}$
Thus, the distance from the origin is $\sqrt{85}$.