Question

Draw a line segment $PQ=6cm$ and divide it in the ratio of $3:2$.

Answer 1

Say point $R$ divides $PQ$ in a ratio of $3:2$ such that

$PR=3x,RQ=2x$

then,

$3x+2x=6$

$x=1.2$

Hence,

Segments $PR=3\times 1.2=3.6cm$ and $RQ=2\times 1.2=2.4cm$