Question

the numerator of a rational number is 3 less than its denominator if numerator become threevtimes and 19 is added tobthe denominator then new number becomes 1/4. find the original number.
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Answer 1

Answer:

here you go

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,  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