points A,B,C and D lie on a straight line in the given order. AC=25cm and BD=46cm. the ratio of length CD to length AB is 5/2. find the length of line segment BC in cm.

Answer 1

make a sketch on a number line of the given.
let BC = x
then AB = 25-x and CD = 46 -x

CD/AB = 5/2
(46-x)/(25-x) = 5/2
92 - 2x = 125-5x
3x = 33
x = 11

So BC = 11 cm

check:
then AB = 25-11= 14 and CD = 46-11 = 35
ration of CD/AB = 35/14 = 5/2