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.
X
AC
B​

Answer 1

Answer:

18cm and 20 cm

Step-by-step explanation:

9x+10x=38

19x=38

x=38/19

x=2

9x=9*2=18 cm

10x=10*2=20 cm

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Answer 2

Answer:

18 : 20 cm

Step-by-step explanation:

Length of the line segment = AB = 38 cm

Given that ratio = 9 : 10

9x + 10x = 38

= 19x = 38

x = 38/19

= 2

x = 2

9x = 9×2=18 cm

10x = 10×2=20 cm

18 : 20 cm = 9 : 10 cm