Question

Question
The denominator oLa fraction.is 4 more than twice the numerator. When both the numerator and denominator
are decreased by 6, then the denominator becomes 12 times the numerator determine the fraction​

Answer 1

Is the correct answer jSjsbkbhsvsbsvsahbanns

Answer 2

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

$Fraction = \frac{x}{y}$

It is given that

Denominator =2 (numerator)+4;

$\Rightarrow y=2x+4;$

$\Rightarrow \: 2x-y+4=0$

According to the given condition, we have

$\red{y - 6 = 12(x - 6);}$

$\Rightarrow y-6=12x-72;$

$\Rightarrow \: 12x-y-66=0$

Thus, we have the following system of equations

$\rightarrow \: 2x-y+4=0.(i);$

$\rightarrow \: 12x-y-66=0..(ii)$

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

${ \boxed{ \red{10x - 70 = 0;}}}$

$\Rightarrow \fcolorbox{red}{grey}{ x=7}$

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

$\rightarrow \: 14 - y + 4 = 0;$

$\Rightarrow \underline \fcolorbox {red}{blue}{ y=18 }$

${ \boxed {\red {\underline{Hence, \: required \: fraction= \frac{7}{18} }}}}$