Answer:
6 and 2
Step-by-step explanation:
let the 2 numbers be x and y with x > y, then
x + y = 8 → (1)
5x + 4y = 38 → (2)
Rearrange (1) expressing x in terms of y by subtracting y from both sides
x = 8 - y → (3)
Substitute x = 8 - y into (2)
5(8 - y) + 4y = 38 ← distribute and simplify left side
40 - 5y + 4y = 38
40 - y = 38 ( subtract 40 from both sides )
- y = - 2 ( multiply both sides by - 1 )
y = 2
Substitute y = 2 into (3) for corresponding value of x
x = 8 - 2 = 6
The larger number is 6 and the smaller number is 2
