Given:
She worked as a nurse for 6 years longer than her friend bill.
Four years ago, she had been at twice as long.
Find-:
How long has each been at the hospital
Explanation-:
Let
x = Bill worked in a hospital
So Hong worked in a hospital is:
[tex]=x+6[/tex]Four years ago, she had been at the hospital twice as long.
[tex]\begin{gathered} x+6-4=2(x-4) \\ \\ x+2=2x-8 \\ \\ x=10 \end{gathered}[/tex]Bill worked for 10 years.
Hong worked 6 years longer than,
[tex]\begin{gathered} =x+6 \\ \\ =10+6 \\ \\ =16 \end{gathered}[/tex]Hong worked for 16 years.