The position vector of the point which divides the join of points $2\overrightarrow{a}-3\overrightarrow{b}$ and $\overrightarrow{a}+\overrightarrow{b}$ in the ratio 3:1 is

Question

$$(A)\;3\overrightarrow{a}+2\overrightarrow{b}\quad(B)\;\frac{7\overrightarrow{a}+8\overrightarrow{b}}{4}\quad(C)\;\frac{3\overrightarrow{a}}{4}\quad(D)\;\frac{5\overrightarrow{a}}{4}$$