Question

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

Answer 1

Answer:

7/18

Step-by-step explanation:

Let the numerator be x

so, the denominator becomes (4+2x).

when both the numerator and denominator decrease by 6, the fraction becomes (x-6)/(4+2x-6).

According to the question,

(x-6)/(4+2x-6)= x/12x

=>(x-6)/(4+2x-6)=1/12

=>12(x-6)=(2x-2)

=>12x-72=2x-2

=>12x-2x=72-2

=>10x=70

=>x=70/10

=>x=7

so, the value of original fraction is

7/(4+2×7)= 7/18

So, the fraction is 7/18.

PLEASE GIVE AT LEAST ONE THANKS. HELP ME TO PROGRESS.