Let, age of Carmen, Antoine and Katy is C, A and K.
And it is given that :
[tex]A - C = 5\dfrac{1}{4}[/tex] …1)
[tex]K-C = 11 \dfrac{1}{2}[/tex] ...2)
We need to find the difference in Antoine's age and Katy's age.
Subtracting equation 2) from 1), we get :
[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]
Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.
