Question

The length of a line segment AB is 38 cm. A point X on it divides it in the ratio 9:10. Find
the lengths of the line segments AX and XB.
A.
X
B
​

Answer 1

Answer:

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Answer 2

Let the length of AXAX and XBXB be 9k9k and 10k10krespectively.

Then  9k+10k=389k+10k=38

⇒19k=38⇒19k=38

⇒k=2⇒k=2

So, Length of AX=9kAX=9k == 9×29×2 =18=18 cmcm

Length of XB=10k=10×2=20XB=10k=10×2=20 cmcm