His daughters are 8, 3, and 3. The prime factorization of 72 is 2 * 2 * 2 * 3 * 3, so the possible ages are 2, 3, 4, 6, 8, 9, 12, and 18. Using the prime factorization and these numbers the only combinations of numbers that work for the first clue are:

18, 2 and 2.
9, 4 and 2.
6, 6 and 2.
6, 4 and 3.
8, 3, and 3.

Since he doesn’t know the ages after this piece of information the sum of the three numbers must not be unique. The sum of 8, 3, and 3; and 6, 6, and 2 are the same. Now the final clue comes in handy. Since we know that the oldest daughter has her own bed it is likely that she has the bed to herself and is older than the other two so there ages are 8, 3, and 3 rather than 2, 6 and 6.

They would both increase length by 2 π meters. Since Circumference = Diameter * π, when they increase in length it is true that Circumference = (Diameter + 2) * π. Distribute the π and you get Circumference = Diameter * π + 2 * π.

First she has to draw one of the papers and get rid of it (by eating it, throwing it, etc.). Then they will check the hat and she that the other paper says ‘YES’, so they know that she drew the paper that said ‘NO’. In this case, she doesn’t have to marry the king.

Juliet, all of the listed things describe a part of the NATO phonetic alphabet: Foxtrot, golf, hotel, India, and finally Juliet.

Nothing, after traveling 80 miles the truck will have surely burnt enough fuel to allow the bird to land on the truck without breaking the bridge.

A book. Not a pool but it has a cover, not a tree but has leaves, not a slave but is bound, not a website but has pages, and not a shirt but has sleeves.

A cave, the blind are bats.

Start both hourglasses then when the 11 minute hourglass has finished immediately flip it again. When the 13 minute hourglass runs out the 11 minute hourglass will have 9 minutes left, so flip it and it will last another 2 minutes, 13 minutes + 2 minutes = 15 minutes.

Nowhere, you don’t bury survivors.

The horse goes around a mill all day.