Let's represent the three consecutive numbers by 'x', 'x+1' and 'x+2'.
So, if their sum is equal 42, we have:
[tex]\begin{gathered} x+(x+1)+(x+2)=42 \\ 3x+3=42 \\ 3x=39 \\ x=13 \end{gathered}[/tex]Since the largest number is 'x + 2', we have:
[tex]x+2=13+2=15[/tex]So the correct option is C.