Answer:
9 and 4
Step-by-step explanation:
let the 2 numbers be x and y, then
2x + 4y = 34 → (1)
x + y = 13 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 13 - x → (3)
Substitute y = 13 - x into (1)
2x + 4(13 - x) = 34 ← distribute and simplify left side
2x + 52 - 4x = 34
- 2x + 52 = 34 ( subtract 52 from both sides )
- 2x = - 18 ( divide both sides by - 2
x = 9
Substitute x = 9 into (3)
y = 13 - 9 = 4
The 2 numbers are 9 and 4
