Question

Dear expert,
which are the 2 numbers greater than 40 that have 2 and 3 as their only prime numbers.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{is}\mathrm{x}. \\ \mathrm{So}\mathrm{x}=2^{\mathrm{m}}\times 3^{\mathrm{n}} \\ \mathrm{Now}\mathrm{if}\mathrm{m}=1,\mathrm{n}=3 \\ \mathrm{x}=2^1\times 3^3=54 \\ \mathrm{Also}\mathrm{when}\mathrm{m}=3,\mathrm{n}=2 \\ \mathrm{x}=2^3\times 3^2=72 \\ \mathrm{So}72\mathrm{and}54\mathrm{are}\mathrm{the}\mathrm{required}\mathrm{number}. \end{gathered}$$