[tex]\begin{gathered} we\text{ have } \\ O\text{ = }Otter \\ S\text{ = Sun} \\ H=\text{ hat} \\ \\ O+O+O=36 \\ S+H+S=6 \\ O+O+S=24 \\ \\ \text{ then we get} \\ \\ 3O=36 \\ 2S+H=6 \\ 2O+S=24 \\ \\ \text{ for the first equation} \\ \\ O=\frac{36}{3}=12 \\ \\ \text{Then replacing on the third equation} \\ 2\cdot12+S=24 \\ 24+S=24 \\ S=0 \\ \\ \text{ and then } \\ \\ 2\cdot0+H=6 \\ \\ \text{and H=6} \\ \\ \text{ the answer is O=12},\text{ S=0 and H=6} \end{gathered}[/tex]
