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Defined functions

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by anhe123 » Thu Sep 30, 2010 6:27 am
If A*B is the greatest common factor of A and B, A$B is defined as the least common multiple of A
and B, and (A intersection B) is defined as equal to (A*B) $ (A$B), then what is the value of (12 intersection 15)?

How would you solve this? Are there any tips you have for solvning defined functions?[/list]
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by kmittal82 » Thu Sep 30, 2010 6:40 am
First you need to expand each of the brackets:

(A*B) = (12*15) = 3 (3 is the greatest common factor of 12 and 15)
(A$B) = (12$15) = 60 (60 is the least common multiple of 12 and 15)

>(A*B) $ (A$B),

= 3 $ 60 = Least common multiple of 3 and 60 = 60
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by anhe123 » Thu Sep 30, 2010 6:43 am
kmittal82 wrote:First you need to expand each of the brackets:

(A*B) = (12*15) = 3 (3 is the greatest common factor of 12 and 15)
(A$B) = (12$15) = 60 (60 is the least common multiple of 12 and 15)

>(A*B) $ (A$B),

= 3 $ 60 = Least common multiple of 3 and 60 = 60

But what does the dollar sign ($) mean?
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by shovan85 » Thu Sep 30, 2010 6:44 am
IMO 60

Break the whole expression.
Solve the bracketed individually.
Merge the answers of bracketed to the single expression.
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by kmittal82 » Thu Sep 30, 2010 6:52 am
andre.heggli wrote:
kmittal82 wrote:First you need to expand each of the brackets:

(A*B) = (12*15) = 3 (3 is the greatest common factor of 12 and 15)
(A$B) = (12$15) = 60 (60 is the least common multiple of 12 and 15)

>(A*B) $ (A$B),

= 3 $ 60 = Least common multiple of 3 and 60 = 60

But what does the dollar sign ($) mean?
Nothing, its just a symbol to represent a mathematical operation... you can replace it with whatever you like.
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