Question

the denominator of a fraction is 4 more than twice its numerator .denominators become 12 times the numerator if both the numerator and the denominator are reduced by 6 find the fraction

Answer 1

Let numerator be x

then fraction = x/(2x+4)

ATQ
=> (x-6)/(2x+4-6) = x/12x
=> (12x-72) = 2x-2
=> 12x-2x = -2+72
=> 10x = 70
=> x=7

Then fraction =

7
_____

18

Answer 2

Hiii friend,

Let the Numerator of the fraction be X.

Then the denominator of the fraction = 2X+4

Therefore,

Fraction = Numerator/Denominator = X/2X+4

Numerator of the fraction reduced by 6 therefore, Numerator become (X-6)

And,

Denominator is also reduced by 6 then denominator become (2X+4-6) = (2X-2)

According to question,

2X-2 = 12(X-6)

2X -2 = 12X - 72

12X -2X = 72-2

10X = 70

X = 70/10

X = 7

Numerator = X = 7

And,

Denominator = (2X+4) = 2 × 7 + 4 = 18

Therefore,

Fraction = Numerator/Denominator = (X)/2X+4 = 7/18

HOPE IT WILL HELP YOU..... :-)