Question

74 is divided into two parts such that twelve time of first when added to the five time of second part makes 472. Find each part

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{first}\mathrm{part}=\mathrm{x} \\ \mathrm{Then}\mathrm{the}\mathrm{second}\mathrm{part}=74-\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 12\mathrm{x}+5\left(74-\mathrm{x}\right)=472 \\ \Rightarrow 12\mathrm{x}+370-5\mathrm{x}=472 \\ \Rightarrow 7\mathrm{x}=472-370 \\ \Rightarrow 7\mathrm{x}=102 \\ \Rightarrow \mathrm{x}=\frac{102}{7}=17 \\ \mathrm{So},\mathrm{first}\mathrm{part}=17 \\ \mathrm{second}\mathrm{part}=74-17=57 \end{gathered}$$