Question

The denominator of a rational number is 4 more than the numerator if 2 is added to the numerator and 3 is added to the denominator the new number becomes 3 by 4 find the original number

Answer 1

Heya !!!

Let the numerator of a rational Number be X.



Denominator of rational Number = X+4


2 is added to Numerator then Numerator becomes X+2 and 3 is two it's denominator then denominator becomes (X+4+3) = 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 = X = 13


And,


Denominator = X+4 = 13+4 = 17



Fraction = Numerator/Denominator =13/17.



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

Answer 2

Let numerqtor be x and denominator be y
Given- y is 4 more than x
y=x+4
2 is added to numerator and 3 is added to denominator it becomes 3/4
X+2/y+3 = 3/4
Taking value of y from above
X+2/x+7=3/4
Cross multiply
4x+8=3x+21
4x-3x=21-8
X=13
Therefore y =13+4=17