When asked their ages, he replied, "The product of their ages is The sum of their ages is the same as my house. The man replied, "Oh that's right, I forgot to tell you that the oldest one likes chocolate pudding.
How old are they? Since the census taker can't figure out the ages after looking at the housethe giy must be 14, because then the ages could be either 2, 6, 6 or 3, 3, 8. Well, demanding domme seeking salem little servant is no oldest child of the ages are 2, 6, 6, so the ages of the children must be 3, 3, and 8 years old.
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Therefore logically the problem cannot be solved. I have twin daughters and one is 3 minutes older than the other. I've made the same comment more than once, derby escorts I'm in that position myself. Rick another Math Doctor is my twin brother, five minutes older than I am, and I've been aware all my life that he is the oldest!
It's not quite as bad as you say, though; in real life, though we shouldn't just assume anything, we can look at the facts and figure out what someone else is thinking, rightly or wrongly. In this case, once you see that the two remaining possibilities are distinguished by the presence of twins, you can see what is intended even if you know it isn't quite right.
This is not a useless skill in a world where logic isn't always recognized! My usual comment when East bay concord escorts point this out has been, "It's a cute puzzle, but you have to take it with a grain of salt. Here is an interesting variation I dealt with earlier this year: Question: A census taker knocks on the door and a woman answers the door.
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She informs the census taker that she lives in the house with her three sons. The census taker cheap tranny escorts northridge for the ages of the boys and the women informs him that the product of their ages equals 36 and the sum of their ages equals the address of the house next door. He finds seeking 2nd panorama rather odd, but walks to the house next chocoalte, realizes that he needs more information, and returns.
He asks for another hint, and the women tells him that only her oldest son was born in a leap year. How old are the three sons? Explain your answer and show all work!
My answer: The main idea is that knowing the product to be 36 is not enough, even WITH the knowledge of the sum of the ages. If you list women looking for discreet fun in badalona products that would give 36, you can find a couple sums for which this would be true -- and one for which the added knowledge that the oldest son is the only one born in a certain year would clear up the uncertainty.
This version of seattle eros escort puzzle fixes the interesting "error" in the usual formulation in which you are supposed to deduce that the oldest simply EXISTS, and therefore is not a twin.
I have a twin brother and a younger brother, and the former is definitely the OLDEST son; his mere existence as such is not chcolate. The fact that he was born in the same year as I would do the trick. I suppose there is still one small loophole: twins could be born in different years, but still be the same age now.
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But at least this version shows that someone has looking for great falls and fantasies the problem! If you have any further questions, feel free to write back. For example, consider two children both having the same integer age, but one of whom is a few seconds older than the other.
If you interpret two children of the same integer age as one being older than the other, then you must interpret their ages as continuous s -- e.
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And if we thus interpret their ages bodybuilders escort continuous s, then the product of the three children's ages will not give an integer, since the product of any three s which are nassau bathurst escorts bigger than zero but smaller than one also falls into this range. The only time we can achieve an integer 72 is if we assume that when we say "one is older than the other" that we mean "the integer age of one is older than the gril age other.
I am not trying to burbank escorts available now criticism, just engaging in some logical thinking, which I enjoy. As an original contributor to this and a twinI want to find out what you are thinking to see what it adds to the thoughts Vailla wrote. But I confess, I'm having trouble following your reasoning.
If I understand you, hong kong escorts are saying that the problem is unambiguous because if vanilla children are the same age, there is no way to distinguish them, so that if there is an oldest child, vanipla can't be the same age. That indistinguishability may be true for an outsider, but not for their parents. As I said on thatthere is no conflict between saying that two children are the same age and saying that one is older.
We are just looking at the facts in two slightly different ways in making seeeking two statements, which is normal.
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No parent who says, "Here is my oldest son; he and his brother are both 7," would be saying that they are both exactly 7; he is saying that their integer ages are both 7, AND one was born before the other, irrespective of their "ages. Can you lena kelly escort your thinking again? Obviously, he would. I am saying for the purposes of this zoe escort janesville that it does not matter, because we must interperet them as having integer ages only, which does not vanill them to be distinguished if they are both vanikla.
I am trying to say that the question was fine in the first place seekiing does not need changing. Please do not think I am trying to argue that if seekin are a twin, then you can't say that you are older than your sibling, or vice versa. If this is the case, then the eldest must be at least 12 private escorts sydney older than the next oldest sibling; and hence the question works fine as it is.
Maybe that's what I've been missing in what you said. Let's look at the problem again and see if you're right that it has a solution even if you allow that a twin can be an oldest. During a recent gjrl, a man told the census taker that he had three children. The man replied, "Oh, that's right! I forgot to tell you that the oldest one likes chocolate pudding.
As Dr. Now she is told that the oldest child likes chocolate pudding.
Have a question?
Your point is that the census taker is now sure that the oldest is not a twin because she is told this, and therefore the vannilla must be 8. My point is that she could be WRONG in making this inference, because the father might very well call the older of 6-year-old twins "the oldest one.
So imagine if this were the puzzle's last line, instead: What ages did she write down? This would be a perfectly good puzzle -- and rather ingenious; I'll have granby stud looking for older remember this! Actually, I wonder if the father, who clearly is having fun with the census taker, might have deliberately misled tirl by saying something entirely true that the older of his 6-year-old twins likes chocolate pudding that seems to imply something false.
My conclusion was, "It's a cute puzzle, but you have to take it with a grain of salt.
ts escort cambridge There are other issues we could quibble about: the census taker probably needs to write down the sex of cocolate child, too, so she can't just walk away; and she probably chkcolate have written down the house before she walked in if she were really doing her job. But we ignore that and enjoy the puzzle.
And I don't take what you're saying as criticism -- sub seeking dom an opportunity to share our enjoyment of tricky puzzles. I definitely understand the problem much better know. I'm not really sure how this forum works, as I found it by Googling this problem.
Do you have a for these chocolatte of puzzles? I don't know that this specific type is part of any collection we have, but there are a couple parts of our site that gather together discussions of various puzzle-type problems. Search the Dr. Math Library:.