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three cousins, allan,bob,and charlie,were sitting around watching football on tv. the game was really boring, so they started talking about how old they were. allan (the oldest)noticed that they were all between the ages 11 and 30. bob noticed that the sum of their ages was 70. charlie (the youngest) stated, "gee, if you write the square of each of our ages, all the digits from 1 to 9 will appear exactly once in the digits of the three squares. how old was each person?
 Feb 2, 2014
 #1
avatar+118667 
0
bump
 Feb 3, 2014
 #2
avatar+2353 
0
gutierrez:

three cousins, allan,bob,and charlie,were sitting around watching football on tv. the game was really boring, so they started talking about how old they were. allan (the oldest)noticed that they were all between the ages 11 and 30. bob noticed that the sum of their ages was 70. charlie (the youngest) stated, "gee, if you write the square of each of our ages, all the digits from 1 to 9 will appear exactly once in the digits of the three squares. how old was each person?



D**n, I don't think I will be able to sleep tonight after reading this.
Will think about it and hope to get back to you.
 Feb 3, 2014
 #3
avatar+135 
0
gutierrez:

three cousins, allan,bob,and charlie,were sitting around watching football on tv. the game was really boring, so they started talking about how old they were. allan (the oldest)noticed that they were all between the ages 11 and 30. bob noticed that the sum of their ages was 70. charlie (the youngest) stated, "gee, if you write the square of each of our ages, all the digits from 1 to 9 will appear exactly once in the digits of the three squares. how old was each person?



Heh. Nice!

I could find the solution using WolframAlpha:
http://m.wolframalpha.com/input/?i=x%2By%2Bz%3D70%2C+10%3Cx%2C+x%3Cy%2C+y%3Cz%2C+z%3C31%2C+w%3Dx%5E2%2B1000*y%5E2%2B1000000*z%5E2&x=0&y=0

I won't post the actual solution, since I wouldn't want others to be able to sleep.
 Feb 3, 2014
 #4
avatar+118667 
0
gutierrez:

three cousins, allan,bob,and charlie,were sitting around watching football on tv. the game was really boring, so they started talking about how old they were. allan (the oldest)noticed that they were all between the ages 11 and 30. bob noticed that the sum of their ages was 70. charlie (the youngest) stated, "gee, if you write the square of each of our ages, all the digits from 1 to 9 will appear exactly once in the digits of the three squares. how old was each person?



I did it entirely by myself.
I used excel just for ease of presentation.
There is only one solution for the squares part.
I did not use the total 70 in any calculation.

Charlie is 19, Bob is 23 and Allen is 28

140204 ABC age puzzle.JPG
 Feb 4, 2014
 #5
avatar+118667 
0
bump - sorry I just couldn't resist.
 Feb 4, 2014
 #6
avatar+2353 
0
Melody:
gutierrez:

three cousins, allan,bob,and charlie,were sitting around watching football on tv. the game was really boring, so they started talking about how old they were. allan (the oldest)noticed that they were all between the ages 11 and 30. bob noticed that the sum of their ages was 70. charlie (the youngest) stated, "gee, if you write the square of each of our ages, all the digits from 1 to 9 will appear exactly once in the digits of the three squares. how old was each person?



I did it entirely by myself.
I used excel just for ease of presentation.
There is only one solution for the squares part.
I did not use the total 70 in any calculation.

Charlie is 19, Bob is 23 and Allen is 28

140204 ABC age puzzle.JPG




I am seriously missing a like button here!
* like *
 Feb 5, 2014
 #7
avatar+118667 
0
Thanks reinout-g
 Feb 5, 2014

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