Question

the numerator of a fraction is 8 less than its denominator. If 2 is added to both numerator and denominator, fraction becomes 11/19 . Find the fraction.​

Answer 1

AnswEr:-

Your Answer Is $\bf\dfrac{9}{17}$

ExplanaTion:-

Given:-

• The numerator of a fraction is 8 less than its denominator.

• If 2 is added to both numerator as well as denominator the fraction becomes $\dfrac{11}{19}$.

To Find:-

• The Fraction.

Now,

Let the denominator of the fraction be x.

So its numerator will be (x - 8).

And hence the fraction would be $\tt\dfrac{x-8}{x}$.

Therefore ATQ:-

$\tt\mapsto \dfrac{(x - 8) + 2}{x + 2} = \dfrac{11}{19} .$

$\tt\mapsto \dfrac{x - 8 + 2}{x + 2} = \dfrac{11}{19}.$

$\tt\mapsto \dfrac{x - 6}{x + 2} = \dfrac{11}{19}.$

$\tt\mapsto19(x - 6) = 11(x + 2).$

$\tt\mapsto19x - 114 = 11x + 22.$

$\tt\mapsto19x - 11x = 22 + 114.$

$\tt\mapsto8x = 136.$

$\tt\mapsto x = \cancel\dfrac{136}{8} .$

$\large\tt\mapsto \boxed{ \bf x = 17.}$

Hence,

• The Denominator Of The Fraction Is,

$\bf\mapsto \boxed{ \bf x = 17.}$

• The Numerator of the fraction is,

$\tt\mapsto x - 8 = 17 - 8.$

$\bf\mapsto \boxed{ \bf Numerator = 9.}$

Therefore,

The Fraction will be

$\rm\dfrac{Numerator}{Denominator}.$

$\boxed{\bf = \dfrac{9}{17}.}$

Answer 2

Answer:9/17

Step-by-step explanation:simple! 11-2 and 19-2 you will get the answers 9/17