Let's create a system of equations to solve this.
x + y = 72
2x = 10y
Let's solve this equation for x
2x = 10y
Divide both sides by 2
x = 5y
Plug 5y into our first equation to solve for y
5y + y = 72
Combine like terms
6y = 72
Divide by 6
y = 12
x = 5y = 5(12) = 60