Question

Direction of current when there is a current source and battery in the circuit

Answer 1

Simply resistors or The Superposition Principle can be helpful in determining that.

According to the principle, you can treat a circuit containing many sources to be made up of several different circuits with single source each. You can solve the circuit containing multiple sources by considering each source to be acting alone and add the effects of all the sources to get the final answer. 

Thanks.