"I have noticed that your son, Phillip von Twattenheim the Fourth, is graying at the temples. Have you betrothed him yet?"
"I have not, but he has recently been accepted by the finest matchmakers in all of Britain, Gray and Farrar."
It doesn't actually have to solve the problem. It just has to make it look like the problem is being solved.
"I have noticed that your son, Phillip von Twattenheim the Fourth, is graying at the temples. Have you betrothed him yet?"
"I have not, but he has recently been accepted by the finest matchmakers in all of Britain, Gray and Farrar."
It doesn't actually have to solve the problem. It just has to make it look like the problem is being solved.