Mr. Jones has eight children of different ages. On a family trip his oldest child, who is 9, spots a license plate with 4-digit number in which each of two digits appears two times.
“Look, daddy!” she exclaims. “That number is evenly divisible by the age of each of us kids!”
“That’s right,” replies Mr. Jones, “and the last two digits just happen to be my age.”
What is the four digit number in the license plate?
Source: 2006 AMC 10/12B #25 (American Mathematics Contest)