Question

If the numerator of a fraction is increased by 4 , then the fraction is increased by 2/3. What is the denominator of the fraction? Plzz answer me...its urgent

Answer 1

$\sf\large\underline{Correct\:Question:}$

If the numerator of a fraction is increased by 4 , then the fraction is become 2/3. What is the denominator of the fraction?

$\sf\large\underline{Let:}$

• $\rm{The\: denominator\:be\:x}$
• $\rm{The\: numerator\:be\:x+4}$

$\sf\large\underline{To\: Find:}$

• $\rm{The\: denominator\:of\: fraction=?}$

$\sf\large\underline{Solution:}$

• The numerator of a fraction is increased by 4 , then the fraction is become 2/3

$\sf\large\underline{A.T.Q:}$

$\rm{\implies \dfrac{x+4}{x}=\dfrac{2}{3}}$

$\rm{\implies 3x+12=2x}$

$\rm{\implies 3x-2x=-12}$

$\rm{\implies x=-12}$

Hence,

$\rm{\implies The\: Numerator=x+4=-12+4=-8}$

$\rm{\implies The\: Denominator=x=-12}$

$\sf\large\underline{Verification:}$

$\rm{\implies \dfrac{x+4}{x}=\dfrac{2}{3}}$

$\rm{\implies \dfrac{-12+4}{-12}=\dfrac{2}{3}}$

$\rm{\implies \dfrac{-8}{-12}=\dfrac{2}{3}}$

$\rm{\implies \dfrac{2}{3}=\dfrac{2}{3}}$

$\sf\large\underline{Hence,\: Verified:}$

Answer 2

Given:

the numerator of a fraction is increased by 4 , then the fraction is become 2/3

A.TQ

$= > \frac{x + 4}{x} = \frac{2}{3} \\ \\ = > 3x + 12 = 2x \\ \\ = > 3x - 2x = - 12 \\ \\ x = - 12$

Therefore, Numerator=x+4=-12+4=-8

and Denominator=x=-12