I will follow Voet and Voet's treatment in the third edition of Bichemistry (p. 361). EH

_{2}^{+} EH

E

^{-}. The acid dissociation constant for the first dissociation is K

_{E1}, and the acid dissociation constant for the second dissociation is K

_{E2}. V

_{max} and K

_{m} are the pH-independent parameters of the monoprotonated (active) form of the enzyme, EH. The apparent values (which depend on pH) are V'

_{max}= V

_{max}/f2 and K'

_{m} = K

_{m}(f1/f2) Therefore V'

_{max}/K'

_{m} = (V

_{max}/K

_{m})(1/f1). f1 =[H

^{+}]/K

_{E1} + 1 + K

_{E2}/[H

^{+}]

It should be possible to calculate V'

_{max}/K'

_{m} from the pH and the two pK

_{a} values you were given.