Question

the denominator of a fraction is 4 more than twice its numerator if 6 is subtracted from both the numerator and denominator the denominator becomes 12 times the numerator find the fraction

Answer 1

Let the numerator of a fraction be x
and denominator be y
So acc to ques
$y =2 x + 4 \\ \frac{x - 6}{y - 6} = \frac{x}{12x} \\ \frac{x - 6}{y - 6} = \frac{1}{12} \\ 12(x - 6) = y - 6 \\ 12x - 72 = y - 6 \\ 12x - y = 66 \\ 12x - 2x - 4 = 66 \: \: \: \: \: \: \: \: (y = 2 + 4) \\ 10x = 70 \\ x = 7 \\ y = 2x + 4 \\ y = 18$