Math Riddle

posted by .

In a little town in West Michigan lives a math professor, who hears one day that the barber has three children. So, on the next visit to the barber, the professor casually inquires, "I have heard you have three children, is that right?" "Yes!" says the barber. "Well, how old are they?" "You are the math professor, aren't you? I tell you, if you multiply the ages of the three, you'll end up with 36." "All right!" the professor answers and walks home. The next day the professor comes back to the barber shop and says: "With the information you have given me, it is impossible to figure out how old your kids are." Then the barber says: "Very good, I see you are a good mathematician. If you add the ages of the three, the sum will be the number of my house." So, the professor walks out, looks at the house number and returns home. Still the professor can't find the solution. The next day, the professor tells the barber that there still must be some information that's missing. "Yes, you are very clever!" says the barber. "The next information I'm giving you is the last word I'm saying about the age of my children. Now you will have enough information. Don't come back again and ask for more. The youngest has blonde hair." The professor goes home and figures out the answer.

What are the ages of the barber's children, and how did the professor figure it out?

Ive narrowed down the answers to
2, 3, and 6
9, 2, and 3

Firstly, because according to BobPursley, a kid whos 1 cannot have blonde hair, meaning noones one. Than the brothers and sisters cant be the same age, and that narrows it down to those 2 answers. Now how can I find the final answer?

  • Math Riddle -

    How can it be 9,2, and 3? It has to multiply to 36.

  • Math Riddle -

    Sorry, :)
    Its late here.

    So that leaves...

    2, 3, and 6?

    I just wanna know how we can prove the blonde kid cant be 1.

  • Math Riddle -

    The other alternative set is 1,3,12; an alternative to 2,3,6. Hair is usually reserved for two year olds. I doubt if you can Prove it.

  • Math Riddle -

    So we can just going to assume its 2, 3, and, 6?

  • Math Riddle -

    If its the youngest child who's hair color is given, the solution is {1,6,6}

    it has nothing to do with the actual hair color, but with mentioning that there exists a unique youngest (or oldest) child to remove the ambiguity in the two age sets with identical sums (i.e. {1,6,6} and {2,2,9) )

    all other age sets have a unique sum

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    In a little town in West Michigan lives a math professor, who hears one day that the barber has three children. So, on the next visit to the barber, the professor casually inquires, "I have heard you have three children, is that right?
  2. math

    the population of humorville is 8,500 people. in this town, jokes travel fast. in one hour, each person who hears a joke tells three other people who have not heard it, and tells no one else. last frieday, a visitor from out of town …
  3. English

    1. They elected the girl captain of the team. 1-2. They elected the girl the captain of the team. (Which one is correct?
  4. vocabulary

    Doesn't the word 'barber' only have one meaning?
  5. Math

    I have a problem on standard deviation, and I will need some help with it. Problem: Each professor in an English class give an A to students scoring above 90 and a F to those scoring below 60. Professor 1 has a normal distribution …
  6. Math

    The population of humorville is 8,500 people. In this town, jokes travel fast. In one hour, each person who hears a joke tells three other people who have not heard it, and tells no one else. Last Friday, a visitor from out of town …
  7. Math

    The population of humorville is 8500 people. In this town Jokes travel fast, in one hour, each person who hears a joke tells three other people who have not heard it, and tells no one else. Last Friday, a visitor from out of town told …
  8. English- emailing response to professor

    So I emailed a professor asking the professor about taking a test earlier than the scheduled day it is on next week and the professor responded and said they could arrange for me to take the test early if I want. And to let the professor …
  9. Math

    A barber and his apprentice earn $4900 in a week. The barber earns $200 more per day than his apprentice. How much does the apprentice earn in one day?
  10. Math

    A barber and his apprentice earn $4900 in a week. The barber earns $200 more per day than his apprentice. How much does the apprentice earn in one day?

More Similar Questions