Answer :

Nate current age = 22 years

Karina current age = 13 years

let

x = the years ago

[tex]\begin{gathered} 4(13-x)=22-x \\ 52-4x=22-x \\ 52-22=-x+4x \\ 30=3x \\ x=\frac{30}{3} \\ x=10 \end{gathered}[/tex]

The answer is 10 years ago.