Question

the denominator of a fraction is 3 more than the numerator if 2 is added to the numerator and 5 is added to the denominator the fraction is 1/2 find the fraction ​

Answer 1

Answer:

let the numerator be X

let the denominator be Y

fraction= x÷y

ATQ

case 1 : x +3= y. eqn 1

case 2 : X+2÷y+5= 1÷2

2x+4 = y+5

2x-y= 5-4

2x-y= 1

on substituting the value of Y from eqn 1 , we have

2x-(X+3)=1

2x-x-3=1

x-3=1

X=1+3

X=4

on putting the value of X in eqn 1 we have

X+3=y

4+3=y

7=y

fraction is 4÷7