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.

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.