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

Step-by-step explanation:l = 2s+5, l + s = 38. Then by direct substitution, 2s+5 + s = 38, or

3s+5 = 38, or 3s = 33, or s = 11, the smaller number. The larger number is 38-11 = 27.

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