Then: the amount of substance after mixing the two solutions is: X*V 1+Y*v2.
Then, the concentration of the mixed solution is (X*V 1+Y*V2)/(X+Y).
Because that volume of the two solutions are different,
So: (X*V 1+Y*V2)/(X+Y) is obviously not equal to X+Y.
Therefore, it is impossible to make the solution reach the same concentration by mixing.