Hoang has worked 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. How long has each been at the hospital ?




Respuesta :

Answer:

bill = 6

hoang = 14

Step-by-step explanation:

the following equations can be formed from the question

H = 8 + b  eqn 1

h - 2 = 2b eqn 2

make h the subject of the formula in eqn 2

h = 2b + 2

2b + 2 = 8 + b

collect like terms

2b - b = 8 - 2

b = 6

h = 8 + 6 = 14

Her friend bill has worked 6 years in the hospital and Hoang has worked 14 years in the hospital.

She worked as a nurse for 8 years longer than her friend bill.

let

x = how long bill has worked in the hospital

Therefore,

Time Hoang has worked in the hospital = x + 8

Two years ago she has been at the hospital for twice as long . Therefore,

x + 8 - 2 = 2x

6 = x

x = 6

Her friend bill has worked 6 years in the hospital and Hoang has worked 6 + 8 = 14 years in the hospital.

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