Ok, this will be the last one of these for awhile. *grin*
A census taker approaches a house and asks the woman who answers the door,"How many children do you have, and what are their ages?" Woman: "I have three children, the product of their ages are 36, the sum of their ages are equal to the address of the house next door." The census taker walks next door, comes back and says, "I need more information." The woman replies, "I have to go, my oldest child is sleeping upstairs." Census taker: "Thank you, I have everything I need." Question: What are the ages of each of the three children?
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6 comments:
I'd imagine that since the only possibilities of the childrens' ages are 3,3, and 4 and 2,3, and 6 and 2,2, and 9 (assuming that she doesn't have any one year olds, or else the combinations would be 1,1,36 and 1,2,18 and 1,3,12 and 1,4,9, and 1,6,6) and since 4 seems rather young for a child who is upstairs (I tend to think that infants or at least toddlers would remain on the ground floor).
But is the woman going because her oldest child is sleeping upstairs? Why would she go? Where is she going? Upstairs to watch after the child or out of the house worried she's making too much noise? Upstairs to wake the child or out of the house to get errands run while the child is asleep? Is this early in the morning, or late in the day (ie is the child taking a nap)?
Obviously, I'm terrible at these things. I'm going to assume that the strategy is to make the list so that the oldest child is still young enough to be napping the middle of the day, so 3, 3 and 4.
Ok....now what did I miss?
While I smiled at your ramblings, they didn't lead you to the correct conclusion. :-)
If their ages would be 3, 3, and 4, the census man wouldn't have needed more information because the address next door would've been 10.
Try again.
the key is in the sum
9x4= 9 x 2 x2 and 6x6= 6x6x1
the sum of each of these is 13
and then by saying she is checking on the oldest implies there is an oldest
so answer is 9, 2 and 2
Congrats Mick G Gerber! You are the winner of...umm...a...ummm..."Congrats" from ME!
:-) Thanks for playing folks. I love these things. (have I mentioned that?)
Sorry to bring up an old question...but doesn't 2, 3, and 6 make more sense?
The kids don't have to be twins, and the oldest is still young enough to take naps, and the product is 12. If her house was number 10, 12 would be next door. Since one side of the street is normally even and the other odd.
anonymous: No, if their ages were 6, 3, and 2 then the sum would be 11. Since there isn't another combo that gives you 11, the census taker wouldn't have needed more information.
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