Question

A $35cm$ line segment is divided into two parts in the ratio $4:3$. Find the length of each part.

Answer 1

The ratio is $4:3$

Let the common multiple be x,

$4x+3x=35$

$7x=35$

$x=5$

as the common multiple is $5$ then the respective length of two parts are

$4x=4\times 5=20$cm

$3x=3\times 5=15$cm.