Translate into an equation, and find the two numbers.

The sum of two numbers is twelve. The total of three times the smaller and twice the larger is twenty-seven.

x = 3, y = 9

Step-by-step explanation:

The sum of two numbers is twelve. x+y = 12

The total of three times the smaller and twice the larger is twenty-seven.

3x + 2y = 27

x + y = 12

3x + 2y = 27

We can use substitution. x + y = 12, so y = 12 - x

3x + 2 (12 - x) = 27

3x + 24 - 2x = 27

x = 27 - 24 = 3

x = 3

x + y = 12

3 + y = 12

y = 12 - 3 = 9

y = 9