Question

solve the following questions ​

Answer 1

Answer:

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9

10

Q. 9

4.2

( 51 Votes )

Divide a rope of

Class 9th

MHB - Math Part-I

5. Linear Equations in Two Variables

Answer

Let the length of smaller part be 'x' cm and larger part be 'y' cm.

Length of rope = 560 cm

⇒ x + y = 560

⇒ y = 560 - x eq.[1]

Also,

Twice the length of smaller part is equal to

of the larger part

⇒ 6x = y

⇒ 6x = 560 - x

⇒ 7x = 560

⇒ x = 80

Using this in eq.[1]

⇒ y = 560 - 80 = 480

Therefore,

Length of smaller part = 'x' cm = 80 cm

Length of larger part = 'y' cm = 480 cm

Answer 2

Answer:

let the length of smaller part be the rope be 'x' cm and that of larger part be 'y'

According to 1st condition ,

the total length of rope is 560cm ..(i)

twice the length of the larger part= 1/3 y

According to 2nd condition,

2x=1/3×3

•6x=y

•6x-y=0...(ii)

Adding equations (i) n (ii)

•x=560/7

•x=80

substituting x=80 in equation(ii)

6x-y=0

•6(80)-y=0

•y=480

● the length of larger part of rope is 480 cm

here's your answer....