The sum of two numbers is 27. the larger number is 6 more than twice the smaller number. what are the numbers?

Let x and y equal our two numbers, then add them and set them equal to 27

x+y=27

Pick a variable to represent your larger number, then make an equation for it

y=2x+6

Substitute your equation for that variable back into the original equation so you get everything in terms of one variable.

x+2x+6=27

Solve!

3x+6=27

3x=21

x=7

Plug x back into the equation:

7+y=21

y=14