Respuesta :
We have to express each statement as an equation.
Five times Jeff's age plus three times Karen's age equals 92.
[tex]5J+3K=92[/tex]Where J is Jeff's age, and K is Karen's age.
Karen's age is 4 more than Jeff's age.
[tex]K=J+4[/tex]Now, we replace the second equation with the first one.
[tex]\begin{gathered} 5J+3(J+4)=92 \\ 5J+3J+12=92 \\ 8J=92-12 \\ 8J=80 \\ J=\frac{80}{8} \\ J=10 \end{gathered}[/tex]Jeff is 10 years old.
Then, we find Karen's age.
[tex]\begin{gathered} K=J+4 \\ K=10+4 \\ K=14 \end{gathered}[/tex]