Respuesta :

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