Answer:
- 2 and 12
Step-by-step explanation:
let the 2 integers be x and y , x > y , then
x - y = 14 → (1)
x + y = 10 → (2)
add the 2 equations term by term to eliminate y
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into (2)
12 + y = 10 ( subtract 12 from both sides )
y = - 2
As a check
x + y = 12 + (- 2) = 12 - 2 = 10
x - y = 12 - (- 2) = 12 + 2 = 14
xy = 12 × - 2 = - 24
