Given:
it is given that Hogan has work as a nurse at Springfield General Hospital for 8 years longer than her friend Bill. two years ago she had been at the hospital for twice as long.
Find:
we have to find how long has each been at the hospital?
Step-by-step explanation:
Let x be the number of years Hogan has been at the hospital
and y be the number of years Bill has been at the hospital.
Then,
y + 8 = x....................(1)
and
2(y-2) = x - 2...................(2)
we can rewrite the equation (1) and (2) as below
x - y = 8.....................(3)
x - 2y = -2...................(4)
subtract eqn(4) from (3), we get
x - y = 8
x - 2y = -2
- + +
.....................
y = 10
put y = 10 in equation(1), we get
x - 10 = 8
x = 8 + 10
x = 18
Therefore, Hogan has been at the hospital 18 years and Bill has been there 10 years.