In one day annie traveled 5times the sum of the number of hours Brian Traveled and 2. Togther they traveled 20hours. Find the number of hours each person traveled.

Respuesta :

Answer:

17 hours and 3 hours.

Step-by-step explanation:

Let us assume that Annie travels x hours and Brian y hours.

Then given that x = 5y+2

Together they travelled = total hours of both = x+y

Substitute x = 5y+2 in the total distance.

We have an equation in a single variable y as

= 5y+y+2 = 20

Simplify to get

6y+2 = 20

subtract 2

6y = 18

Divide by 6

y =3

x =5y+2

= 5(3) +2=17 hours

Annie traveled 17 hours and Brian 5 hours.