Question

A line segment AB is divided at point P such that PB/AB 3/7 then find the ratio AP:PB

Answer 1

the correct answer is 4:3

Answer 2

Answer:

The ratio is 4:3

Step-by-step explanation:

$\text{Given the line segment AB which is divided at point P such that }\frac{PB}{AB}=\frac{3}{7}$

we have to find the ratio AP:PB

$\text{Let }PB=3x$

$AB=7x$

$AB=AP+PB$

$7x=AP+3x$

$AP=7x-3x=4x$

$\frac{AP}{PB}=\frac{4x}{3x}=\frac{4}{3}$

Hence, the ratio is 4:3