Answer:
smaller number is 20 and larger number is25
Explanation:
let x and y represent the 2 numbers, with x > y
form 2 equations in x/ y and solve simultaneously
x + y = 45 → (1)
x - y = 5 → (2)
adding the 2 equations term by term will eliminate y
(x + x) +(y - y) = 45 + 5
2x + 0 = 50
2x = 50 ( divide both sides by 2 )
x = 25
substitute x = 25 into (1) and solve for y
25 + y = 45 ( subtract 25 from both sides )
y = 20
smaller number is 20 and larger number is 25