Question

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

Answer 1

Step-by-step explanation:

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, x+233x=81 

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 41.

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