The inter-relationship between structural transformation and superconductivity has been studied on B2 systems V54-xRu46Osx, V54Ru46-xOsx and V52Ru48-xOsx with 0<or=x<or=4. An increase of the parameter x in V54-xRu46Osx, where the electron-atom ratio e/a increases linearly with x, raises the transformation temperature TL sharply while lowering the superconducting transition temperature Tc rapidly. This is in contrast with the results for both systems V54Ru46-xOsx and V52Ru48-xOsx, where e/a is a constant independent of x. All samples in V54Ru46-xOsx with e/a=6.38 undergo no structural transformation, while showing superconductivity at nearly the same temperatures around 5 K. All samples in V52Ru48-xOsx with e/a=6.44, however, show no superconductivity, while undergoing transformation at nearly the same temperature around 200 K. Taken together, these facts confirm that both TL and Tc are completely dominated by the value of e/a; the lowering of TL, which is accompanied by a decrease of e/a, causes sharp enhancement of Tc. This provides decisive evidence for the electronic transition and its strong correlation with superconductivity.