Question

1. The numerator of a rational number is less than its denominator by 3. If the numerator ben
1
three times and the denominator is increased by 20, the new rational number becomes
8
the original rational number.​

Answer 1

Answer:

8th

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Linear Equations in One Variable

Solving Linear Equations with Variable on Both Sides

The numerator of a rational...

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Asked on December 26, 2019 by

Sucharita Baliyan

The numerator of a rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes

8

1

. Find the original number.

ANSWER

Let the numerator of the rational number be x.

Then, the denominator of the rational number =x+3

According to the given condition,

New numerator =3x and new denominator =(x+3)+20=x+23

Given, 3x/x+23=1/8

By cross multiplying, we get

8(3x)=x+23

⇒24x=x+23

⇒23x=23 ....[On Transposing]

or x=1

Therefore, numerator of the rational number =1 and denominator =1+3=4.

Hence, the original rational number is 1/4

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