Monday, October 30, 2006

Dusting off an old problem...

... I loved this one back in college, a couple of nerdy friends came all excited from the library with this problem.

think about it.. I'll post the solution later in the week:

One day walking in a street, Caesar meets his old math teacher. Happy to meet him, he says hello to the teacher but he doesn't remember that his teacher answers everything with a puzzle:
-- How are you doing, professor? It's been a long time since we don't meet! Are your daughters ok? How old are they now?
-- Multiplying the three ages you get 36
-- But that's not enough to know the ages!
-- So, add up the ages and you'll get the number of that house.
Caesar starts calculating, but still can't figure out. The professor seeing that he wouldn't be able to find the answer says:
-- The oldest girl plays the piano...
That's what Caesar needed to know to figure out the problem. How old is each girl?

3 Comments:

Blogger Marcos Lacerda said...

I think I got it:

There are a lot of combinations of ages that can result on 36 when multiplying them. But only two combinations that would lead Ceaser to still doubt the correct result:
9, 2 and 2; and 6, 6 and 1.
These two combinations sum 13 each. All other combinations sum different and unique numbers.

When the teacher mentioned that there was an "oldest girl", then 9, 2 and 2 was finally identified as the right result.

7:51 AM  
Blogger dave said...

you got it marcos.. I hope you enjoyed the journey to get there!

11:46 AM  
Anonymous Anonymous said...

wHAT ABOUT 36, 1, 1?

7:13 AM  

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