Question

the denominator of a fraction is 4 times than twice the numerator and denominator are decreased by 6 then the denomonator becomes 12 times the numerator Find the fraction

Answer 1

Answer:

let numerator be x and denominator be y

y=2x+4

2x-y=-4 ____(1)

y-6=(x-6)12

y-6=12x-72

12x-y=72-6

12x-y=66___(2)

subtract equation (1) and (2)

2x-y-(12x-y) =-4-66)

2x-y-12x+y=-4-66

-10x=-70

x=7

substitute value of x in (1)

2(7)-y=-4

14-y=-4

y=18