Question

Solve this:
5. The fourth part of a number exceeds the sixth part by 4 . The number is
a) 84 b) 44 c) 48 d) none of these

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{number}=\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ \frac{\mathrm{x}}{4}-\frac{\mathrm{x}}{6}=4 \\ \Rightarrow \frac{3\mathrm{x}-2\mathrm{x}}{12}=4 \\ \Rightarrow \frac{\mathrm{x}}{12}=4 \\ \Rightarrow \mathrm{x}=48 \\ \mathrm{So},\mathrm{the}\mathrm{required}\mathrm{number}=48 \end{gathered}$$