The sum of two numbers is 15. four times the smaller number is 60 less than twice the larger number. what is the larger number?

X = smaller number, y = larger number
x + y = 15x = 15 - y
4x = 2y - 60

4(15 - y) = 2y - 60
60 - 4y = 2y - 60
60 + 60 = 2y + 4y
120 = 6y
120/6 = y
20 = y < larger number is 20

x + y = 15
x + 20 = 15
x = 15 - 20
x = - 5