let 'x' and 'y' be the numbers and x>y

the sum of two numbers is twice their difference

x + y = 2(x - y)

the larger number is 10 more than twice times the smaller

x = 10 + 2y

by solving the system of equations

x + y = 2(x - y)

x = 10 + 2y

we find

x = 30

y = 10

click here to see the step by step solution of the system of equations

the numbers are 30 and 10.