• # question_answer If $\frac{3}{17}$ of a number is 18, then its two-third is A)  86     B)  68    C)  43      D)  34

Correct Answer: B

Solution :

Let $\frac{2}{3}$ rd of number $=x$ Since, both the fractions $\frac{3}{17}$ and $\frac{2}{3}$ are to be found out for the same number. $\therefore$ $\frac{\text{Fractional number}}{\text{Its related fraction}}=\frac{\text{Another fractional number}}{\text{Its related fraction}}$ = Original number (always) $\Rightarrow$ $\frac{18}{3/17}=\frac{x}{2/3}$ $\therefore$ $x=68$. Hence, two-third of the number is 68.

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