A) \[\frac{5}{12}\]
B) \[\frac{7}{23}\]
C) \[\frac{1}{8}\]
D) \[\frac{2}{3}\]
Correct Answer: C
Solution :
Let the numerator and denominator of a fraction are x and y, respectively, According to question \[\frac{x-1}{y}=\frac{1}{3}\Rightarrow 3x=3=y\Rightarrow 3x-y=3\] ?.(i) and \[\frac{x}{y+5}=\frac{1}{4}\Rightarrow 4x-y=5\] ?..(ii) On solving eqs. (i) and (ii), we get \[x=2\] and \[y=3\] \[\therefore \] Required fraction \[=\frac{x-1}{y+5}=\frac{2-1}{3+5}=\frac{1}{8}\]You need to login to perform this action.
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