Mira picked two numbers from a bowl. the difference of the two numbers was 4, and the sum of one-half of each number was 18. the system that represents mira’s numbers is below. 1/2x – 1/2y = 4 x + y = 18 which two numbers did mira pick?

x=20 and y=16

Step-by-step explanation:

Let the two numbers be x and y

Difference of two numbers was 4 that is:

      (1)

And sum of one-half of each number was 18 that is:

          (2)

For  solving equation (1) and (2) we substitute x=4+y in equation (2) we get:

After simplification by taking LCM of the fraction we get:

After further simplification we get:

Now, substitute y=16 in x=4+y we get:

x=4+16=20

Hence, x=20 and y=16