We can easily calculate the pH by converting the concentration into millimoles.
Millimoles of CH3COOH=0.1×10=1.0 millimole
Millimoles of CH3COONa=0.1×2.0=2.0 millimole ∴ Using Henderson-Hassebalch equation, pH=pKa+log[ acid ] [Conjugate base ] =4.74+log12 =4.74+0.30 =5.04