Question

the denominator of fraction is 4 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

Hii friend

Let the Numerator of the fraction be X

Then ,the denominator = 2X+4.

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

Numerator and Denominator is decreased by 6 then the numerator and denominator becomes (X-6) and (2X+4-6) = (2X-2)

Fraction = Numerator/Denominator = (X-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

Fraction = Numerator/Denominator = 7/18

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