Resistor values for a non-inverting op-amp with gain of 2
A good start for approximate range of resistor values in low-frequency op-amp circuits is 10K. That's because bias currents and leakage have little effect and they don't draw too much current from the op-amp output or from the inputs (where relevant, which isn't here).
You might go up by 10:1 or more if the circuit has to be very low power, you might go down by 10:1 or more if the circuit needs to be very low noise or high frequency.
That's just a rough rule of thumb. The details depend on the exact requirements, but often there's a fairly wide range of possible values.
Of course, as Transistor mentions, to get 10V out you'll need a power supply of more than 10V, something like 12V is often enough. If you don't have a 12V supply, it can be created with a DC-DC boost converter.