Question

What number must be added to each term of the ratio 2 : 5, so that it may become equal to 5 : 6.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{added}\mathrm{to}\mathrm{each}\mathrm{term}\mathrm{be}p. \\ \mathrm{According}\mathrm{to}\mathrm{the}\mathrm{question}, \\ \frac{2+p}{5+p}=\frac{5}{6}\Rightarrow 12+6p=25+5p\Rightarrow p=13 \end{gathered}$$

Hence, 13 should be added to each term of the ratio 2:5 so that the ratio becomes 5:6.