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?
Four possible combinations to the questions with numbers that fit them:
yes, yes: 1335, 1336 and 1227, 1228
yes, no: 3099, 3100 and 2199, 2200
no, yes: 1236, 1237 and 1245, 1246
no, no: 1299, 1300
1299, 1300 is the only possibility if the answer are both no, so this must be the correct answer.
soln
