Question

. The larger of two integers is 5/2 the smaller. If twice the smaller is subtracted from twice the larger, the difference is 12.Find the two numbers

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{smaller}\mathrm{integer}=\mathrm{x} \\ \mathrm{Now},\mathrm{larger}\mathrm{integer}=\frac{5\mathrm{x}}{2} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 2\times \frac{5\mathrm{x}}{2}-2\left(2\mathrm{x}\right)=12 \\ \Rightarrow 5\mathrm{x}-4\mathrm{x}=12 \\ \Rightarrow \mathrm{x}=12 \\ \mathrm{So},\mathrm{smaller}\mathrm{integer}=12 \\ \mathrm{larger}\mathrm{integer}=\frac{5}{2}\times 12=30 \end{gathered}$$