Answer:
Larger number = 30
Smaller number = 28
Step-by-step explanation:
Let the two numbers be x and y
x + y = 58 --------------(I)
x - y = 2 ---------------(II)
Add equations (I) and (II). Thus y will be eliminated and we can find the value of x.
(I) x + y = 58
(II) x - y = 2 {Now add}
2x = 60
Divide both sides by 2
x = 60/2
x = 30
Plugin x =30 in equation (I)
30 + y= 58
y = 58 - 30
y = 28