Question

Mark the correct alternative in the following question:

If 8 : x : : 16 : 35, then x =

(a) 35 (b) 70 (c) $\frac{35}{2}$ (d) 24

Answer 1

$$\begin{gathered} \mathrm{As},8:x::16:35 \\ \Rightarrow \frac{8}{x}=\frac{16}{35} \\ \Rightarrow 16x=8\times 35\left(\mathrm{By}\mathrm{cross}\mathrm{multiplication}\right) \\ \Rightarrow x=\frac{8\times 35}{16}\left(\mathrm{Transposing}16\mathrm{to}\mathrm{RHS}\right) \\ \therefore x=\frac{35}{2} \end{gathered}$$

Hence, the correct alternative is option (c).