I need help with this this is part of my homework online

Let's make an equation.
April's age is X
Laura's age is 2 more years than half the age of April. So: (1/2x + 2)
Their combined age is 23
[tex]\begin{gathered} (x)+(\frac{1}{2}x+2)=23 \\ x+\frac{1}{2}x=23\text{ - 2} \\ \frac{2x+x}{2}=21 \\ 3x=21(2) \\ x=\frac{42}{3} \\ x=14 \end{gathered}[/tex]If April's age is X, her age is 14.
And Laura's age is:
[tex](\frac{1}{2}x+2)=\frac{1}{2}(14)+2=7+2=9[/tex]Laura's age is 9 (option C)
Let's verify it. 14 + 9 =23 ; 23=23 (it is correct)