Question

The sum of two numbers is 182 . If they are in the ratio 5:8 , find the number.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}2\mathrm{numbers}\mathrm{be}5\mathrm{x}\mathrm{and}8\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 5\mathrm{x}+8\mathrm{x}=182 \\ \Rightarrow 13\mathrm{x}=182 \\ \Rightarrow \mathrm{x}=\frac{182}{13}=14 \\ \mathrm{So},\mathrm{first}\mathrm{number}=5\times 14=70 \\ \mathrm{second}\mathrm{number}=8\times 14=112 \end{gathered}$$