The difference between twice one number and a lesser number is 32. The sum of the lesser number and twice the greater is 60. Find the numbers

The numbers are 23 , 14

Step-by-step explanation:

Let the greater number = x

The smaller number  = y

2x  - y = 32    (I)

2x + y = 60  (II)

Add the two equations. Thus y will be eliminated and we can find the value of x

(I)   2x - y = 32

(II)  2x + y = 60   {Now, add}

      4x      = 92

            x = 92/4

x = 23

Plugin x = 23 in equation (II)

2*23 + y = 60

  46  + y = 60

           y = 60 - 46

            y = 14

The numbers are 23 , 14