Is it possible to make issue A automatically closed and resolved when a specified issue B is closed?

[Qi Luk]

Is it possible to make issue A automatically closed and resolved when a specified issue B is closed?  The use case is that issue A and B are technically two separate part, but the assignee happens to be same, and to the assignee, they are the same bulk of work and basically if issue A is done B is also done.  Is it possible to configure issue A such that it is closed and resolved whenever its specified related issue B is closed?

[Steven F Behnke]

I regularly script this with the Script Runner add-on.

Misc Workflow Extensions includes a simple Transition Linked Issues post-function that works in this use-case usually.