Question

The denominator of a rational no is 4 more than the numerator.if 2is added to the numerator and 3 is added to denominator than the new no becomes 3/4.find the original no.

Answer 1

Let,
Numerator = x
Denominator = x + 4

Fraction = x/(x + 4)

×××××××××××××××××××××

According to the question,

(x + 2)/(x + 4 + 3) = 3/4

4(x + 2) = 3 (x + 7)

4x + 8 = 3x + 21

4x - 3x = 21 - 8

x = 13

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Fraction = x/(x + 4) => 13/(13 + 4)

Fraction = 13/17


I hope this will help you


(-:

Answer 2

Heya !!!



Let Numerator of fraction be X ..



Denominator of fraction = ( X+4)


Fraction = Numerator/Denominator = X/X+4




2 is added to Numerator,


New Numerator = X + 2



And,


3 is added to Denominator,


New denominator = X +4+3 = X +7



New fraction = Numerator/Denominator = X+2/ X +7)



According to question,



( X +2 )/ ( X +7) = 3/4




4 ( X +2) = 3 ( X +7)



4X + 8 = 3X +21



4X - 3X = 21 -8



X = 13


Numerator of fraction = X = 13


And,


Denominator of fraction = X +4 = 13+4 = 17



Fraction = Numerator/Denominator = 13/17.



HOPE IT WILL HELP YOU..... ;-)