Guessing age of 3 daughters puzzle
A mathematician and a lady strike conversation during a flight.
The lady asks the mathematician to guess the age of her three daughters. Mathematician, being unable to answer the questions, asks for some hint(s).
The lady replies: The product of their ages is 36.
Still unable to answer, mathematician asks for another hint.
Hint 2: The sum of their ages is equal to your (i.e. mathematician’s) seat number.
Mathematician still cann’t answer the question.
Final hint: My (i.e. the lady’s) youngest daughter has blue eyes.
Listening to the final hint, mathematician is able to answer the question.
Can you too? How?
1, 6, 6.
There are 8 combinations { (1, 1, 36), (1, 2, 18), (1, 3, 12), (1, 4, 9), (1, 6, 6), (2, 2, 9), (2, 3, 6), (3, 3, 4) } of ages whose product is 36. After II hint of sum of ages, mathematician is unable to answer so there must be at least two combination of ages whose sum is same (Sum doesn’t matter) . Out of 8 combinations of ages only (1, 6, 6) and (2, 2, 9) have same sum. Finally, III hint implies one is youngest so (2, 2, 9) is n’t possible as it has two youngest. So answer is (1, 6, 6) which has elder twins.
Your Answer
More puzzles to try-
No on can make this riddle
Write “Eleven Thousand Eleven Hundred And Eleven” in DigitsRead More »Together they are brother riddle
He always follow his brother, although very different they are. You can see one, but not other. You can hear ...Read More »Men dream on sound
At the sound, men may dream or stomp their feet at the sound of me, women may laugh or sometimes ...Read More »Complete this 6 letter word – _ h _ a _ t
Complete this 6 letter word – _ h _ a _ t Clues- 1. Girls love it. 2. Boys like ...Read More »No feather to fly
He sleeps in day and flies in night. He has no feathers to aid his flight. What is it?Read More »Make the Words
WHAT WORDS CAN YOU MAKE OUT OF THESE BELOW LETTERS:- H, E, I, V, D, E, ORead More »Unique Dating Puzzle
Katrina wants to go on a date and prefers her date to be tall, dark and handsome. Of the preferred ...Read More »Digging Tiny Caves
He dig out tiny caves, and store gold and silver in them. He also build bridges of silver and make ...Read More »How did Lisa Simpson cross the river ?
A guard is positioned at the one side of bridge say ‘A’. * His task is to shoot all those ...Read More »Solve The Logic
Can you solve the photo plexer logic ?Read More »How to tie a sheep so that it eats out a square in grass?
If we tie a sheep to one peg it eats out a circle in grass. If we put a rope ...Read More »Feed me and I live, give me drink and I die riddle
Feed me and I live, give me drink and I die. What am I?Read More »Shoes Company Rebus Puzzle
What shoe company does this rebus represent?Read More »Chemist Murder Mystery
To attend world science seminar, A famous chemist from Russia visit Tokyo(Japan). In the lab, the scientist was killed and ...Read More »What time is it?
The number of hours left today is half of the number of hours already passed. What time is it? A. ...Read More »Father & Son riddle
Two fathers and two sons sat down to take tea. They had exactly three cup of tea, each person had ...Read More »What did he lose?
A man goes into a barbershop and gets a $15 haircut. He pays the barber with a $20 bill, but ...Read More »Weekend Puzzle
Re-arrange the red and blue balls in the check board in such a way that no two balls of same ...Read More »Triangles in a Triangle Puzzle
Can you count the number of triangles inside a triangle?Read More »Hare and tortoise meeting puzzle
Haretown and Tortoiseville are 55 miles apart. A hare travels at 8 miles per hour from Haretown to Tortoiseville, while ...Read More »