Question

a number is three less than 4 times another number. their sum is one hundred two . what are the numbers

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{first}\mathrm{number}=\mathrm{x} \\ \mathrm{then}\mathrm{the}\mathrm{other}\mathrm{number}=102-\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ \mathrm{x}=4\left(102-\mathrm{x}\right)-3 \\ \Rightarrow \mathrm{x}=408-4\mathrm{x}-3 \\ \Rightarrow \mathrm{x}=-4\mathrm{x}+405 \\ \Rightarrow \mathrm{x}+4\mathrm{x}=405 \\ \Rightarrow 5\mathrm{x}=405 \\ \Rightarrow \mathrm{x}=81 \\ \mathrm{Now},\mathrm{first}\mathrm{number}=81 \\ \mathrm{second}\mathrm{number}==102-81=21 \end{gathered}$$