Question

The Numerator of a rational number is less than its denomination by 3 . lf the numerator become 3times and denomination is increase by 20,then new number become 1/8. find the original number.​

Answer 1

Answer:

Original rational number=1/4

Step-by-step explanation:

Let the denominator of the original rational number be x.

Then as per given data,

Original rational number=x-3/x_________1.

From the data,

New Rational number is

3(x-3)/x+20=1/8

8(3x-9)=1(x+20)

24x-72=x+20

24x-x=20+72

23x=92

x=92/23

x=4.

Putting value of x in equation 1.,

We have

Original rational number=4-3/4

Original rational number=1/4

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