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Denominator is 18 more than numerator.if …

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Denominator is 18 more than numerator.if we added 1 in both numerator and denominator then the value of the fraction is equal to the fraction obtained by adding 8 in numerator and 15 in denominator
  • 1 answers

Ram Kushwah 6 years, 7 months ago

Let numerator=x then den=x+18

as per given

{tex}\begin{array}{l}\frac{\displaystyle x+1}{x+18+1}=\frac{\displaystyle x+8}{x+18+15\;\;}\\\frac{\displaystyle x+1}{x+19}=\frac{\displaystyle x+8}{x+33}\\(x+1))(x+33)=(x+8)(x+19)\\x^2+34x+33=x^2+27x+152\end{array}{/tex}

{tex}\begin{array}{l}7x=152-33\\7x=119\\x=17\end{array}{/tex}

Numerator=-17

 and denominator=-17+18=35

Number=-17/35

 

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