Question

Mark the correct alternative in the following question:

$$\begin{gathered} \mathrm{If}\frac{x}{2}-\frac{x}{3}=5,\mathrm{then}x= \\ \left(\mathrm{a}\right)8\left(\mathrm{b}\right)16\left(\mathrm{c}\right)24\left(\mathrm{d}\right)30 \end{gathered}$$

Answer 1

$$\begin{gathered} \mathrm{As},\frac{x}{2}-\frac{x}{3}=5 \\ \Rightarrow \frac{3x}{6}-\frac{2x}{6}=5 \\ \Rightarrow \frac{3x-2x}{6}=5 \\ \Rightarrow \frac{x}{6}=5 \\ \Rightarrow x=5\times 6\left(\mathrm{By}\mathrm{transposing}6\mathrm{to}\mathrm{RHS}\right) \\ \therefore x=30 \end{gathered}$$

Hence, the correct alternative is option (d).