The structure of \( S_4O_6^{2-} \) (tetrathionate ion) contains:
- Two terminal sulfur atoms bonded to oxygen atoms → oxidation state = +5
- Two internal sulfur atoms bonded only to other sulfur atoms → oxidation state = 0
Hence, oxidation numbers:
\[
S_1 = +5,\quad S_2 = 0,\quad S_3 = 0,\quad S_4 = +5
\]
Total:
\[
5 + 0 + 0 + 5 = +10;\quad \text{Oxygen total} = 6(-2) = -12;\quad \text{Overall charge} = -2
\Rightarrow +10 + (-12) = -2 \ \checkmark
\]