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

x=27

y=11

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x = 5+2y

x+y = 38

Use substitution and substitute x=5+2y into x+y = 38.

(5+2y) + y = 38

5 + 3y = 38

3y=33

y=11

Substitute y=11 into 1 equation.

x = 5+2 (11)

x = 5+22

x = 27