Answer:
smaller number = 3 5/24
larger number = 6 13/24
Step-by-step explanation:
let the larger number = x
smaller number = y
x - y = 3 1/3 equation 1
2(x +y) = 191/2 equation 2
divide equation 2 through by 2
x + y = 9 3/4 equation 3
subtract equation 1 from 3
2y = 6 5/12
y = 77/12 x 1/2 = 3 5/24
substitute for y in equation 1
x - 3 5/24 = 31/3
x = 3 1/3 + 3 5/24
x = 6 13/24
x -y = 1
5x + 3y = 45
Solve the first equation for x: x = y + 1
Substitute x in the second with y + 1
5x + 3y = 45
5(y + 1) + 3y = 45
5y + 5 + 3y = 45
8y + 5 = 45
8y = 40
y = 5
Substitute 5 for y in x = y + 1
x = y + 1
x = 5 + 1
x = 6
Answer: (6, 5)
There are a total of 127 cars on a lot if there are four more than twice the number of trucks than cars how any trucks and cars are on the lot
