Yesterday I bought two tickets to a movie, which logically had consecutive numbers. I examined the numbers, which had four digits, and mentioned that the sum of the eight digits was 25.

A friend asked if any digit appeared more than twice out of the eight, and I answered him.

Other friend asked if the sum of the digits of either ticket was equal to 13, which I also answered.

And then, to my surprise, my daughter told me what the two numbers were!

What were they?

Since the Daughter solved the problem we need to find a pattern of answers that gives a unique solution. Of the possible combinations ranging from {0048, 0049} smallest; to {9210, 9211} largest Only NO - NO gives a unique answer. No digit appears more than twice and neither ticket number totals 13. The tickets are therefore numbered {1299, 1300}