EleazarT232069 EleazarT232069

25-10-2022
Mathematics

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if a certain number is added to both the numerator and denominator of the fraction 8/9, the result is 6/7. Find the numer.

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LoveahU488664 LoveahU488664

25-10-2022

[tex]\begin{gathered} \text{The given fraction is}\Rightarrow\frac{8}{9} \\ \text{Add x in both numerator and denominator as,} \\ \Rightarrow\frac{8+x}{9+x}=\frac{6}{7} \\ 7(8+x)=6(9+x) \\ 56+7x=54+6x \\ x=54-56 \\ x=-2 \end{gathered}[/tex]

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