• # question_answer The numerator and denominator of a fraction are in the ratio of 2 : 3. If 6 is subtracted from the numerator, the result is a fraction that has a value 2/3 of the original fraction. The numerator of the original fraction is A)  6                    B)  18     C)  27                   D)  36

Solution :

[b] Let the fraction be $\frac{2x}{3x}$ Now, $\frac{2x-6}{3x}=\frac{2}{3}\times \frac{2x}{3x}$ $\Rightarrow$ $2x-6=\frac{4x}{3}$ $\Rightarrow$ $6x-18=4x$ $\Rightarrow$ $2x=18$ $\Rightarrow$ $x=9$ $\therefore$ Numerator $=2x=2\times 9=18$

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