SOLUTION: if 42 42=k(14+m/50).where k and m are positive integers.and m<50,then what is the value of k+m? answer

Question 1019406: if 42 42=k(14+m/50).where k and m are positive integers.and m<50,then what is the value of k+m? answer
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

Solve that for k and simplify, get



k is an integer, so the denominator m+700
must divide evenly into 212100.

We are looking for a factor of 212100 that
is the number m greater than 700.

212100's prime factorization is 2�∙5�∙3∙7∙101

Looking at those prime factors, we see that
when we multiply the last two together, we
get 7∙101 = 707. That is the next factor of 
212100 greater than 700. So if we take m=7
the denominator m+700 will be 707.

So we take  and 



 


Answer: k = 300, m = 7, so k+m = 307 

Edwin

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