Question

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

Answer 1

let the numerator of the fraction= x
and denominator be = 2x
then numerator becomes 12 times the numerator

Answer 2

Hii friend,

Let the numerator of the fraction be X.

Then , the denominator of the fraction = (2X+4)

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

Numerator and denominator are reduced by 6 then the numerator and denominator becomes (X-6) and (2X+4-6) = 2X-2.

According to question,

2X-2 = 12(X-6)

2X-2 = 12X-72

12X-2X = 70-2


10X = 70

X = 70/10

X = 7

Numerator = X = 7

And,

Denominator = 2X+4 = 2 × 7+4 = 18

Fraction = Numerator/Denominator = X-6/2X+4 = 7/18

HENCE,

fraction = 7/18

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