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

If April's age is X, her age is 14.
And Laura's age is:

Laura's age is 9 (option C)
Let's verify it. 14 + 9 =23 ; 23=23 (it is correct)