Jack is married to Jill. Their son, Junior, asked each of them to reveal their ages. Junior’s parents decided to tell him, but in the form of a puzzle. Jack told Junior, “If you reverse the digits in my age, you get your mother’s age.

Question

Jill told her son, “The sum of my age and your dad’s age is equal to 11 times the difference in our ages.”
“Wait a minute,” said Junior, “I can’t figure out your ages with just those two clues!”
“You’re right,” said Jack. “Remember that I am older than your mother.”