Question

the denominator of a fraction is 4 more than the numerator .if 3 is added to the numerator and 7 added to the denominator ,the fraction becomes 1/3 . find the fraction ​

Answer 1

Answer:

let numerator is X, then denominator will be (X+4)

then fraction is X/ (X+4)

1 added to numerator= (X+1) and 1 substracted to denominator=(X+4-1) = (X+3) then it becomes 2/3

so (X+1)/(X+3) = 2/3

3X +3 = 2X + 6

X =3

so fraction is 3/7

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Answer 2

Answer:

Let the numerator and denominator of the fraction be x and y respectively. Then,

Fraction =

y

x

It is given that

Denominator =2 (Numerator) +4

⇒y=2x+4

⇒2x−y+4=0

According to the given condition, we have

y−6=12(x−6)

⇒y−6=12x−72

⇒12x−y−66=0

Thus, we have the following system of equations

2x−y+4=0 .(i)

12x−y−66=0 ..(ii)

Subtracting equation (i) from equation (ii), we get

10x−70=0

⇒x=7

Putting x=7 in equation (i), we get

14−y+4=0

⇒y=18

Hence, required fraction =

18

7