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In a fraction, the numerator is (3) less than the denominator. If (2) is added to both numerator and denominator, the fraction becomes (\frac{4}{5}). What is the original fraction?

Answer and explanation

Correct answer: (\frac{10}{13})

Let the denominator be (y), so the numerator is (y-3). From (\frac{y-1}{y+2}=\frac{4}{5}), (y=13), so the fraction is (\frac{10}{13}).

Related tags

Word-ProblemFractionSubstitutionAlgebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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