In qualitative inorganic analysis of a water-soluble salt mixture, salt AB together with salt XY, both the cations were identified as sulphides. In the tests for anions the sodium carbonate extract when treated with $$\text{AgNO}_3$$ gave a yellowish precipitate soluble with difficulty in $$\text{NH}_4\text{OH}$$ while the other anion can be confirmed with the brown ring test. Given that $$K_{sp}$$ for AS is $$1 \times 10^{-44}$$ and for XS is $$1.4 \times 10^{-24}$$, identify the INCORRECT statement about the analysis.