The larger of the two numbers is five more than twice the smaller number. the sum of the two numbers is 38

Smaller number = 11,   Larger number =  27

Step-by-step explanation:

Let the smaller number be k.

Then, the larger number is 2k + 5

Also, smaller number + larger number = 38

⇒ k + (2k + 5) = 38

or, 3k = 38 -5 = 33

⇒ k = 33/ 3 = 11

So, the smaller number is 11.

The larger number is 2k + 5 =  2(11) + 5 = 22 + 5 = 27

So, the smaller number = 11

The larger number is 27

f is the midpoint of