Question 1019406
{{{4242=k(14+m/50)}}}
<pre>
Solve that for k and simplify, get

{{{k=212100/(m+700)}}}

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 2²&#8729;5²&#8729;3&#8729;7&#8729;101

Looking at those prime factors, we see that
when we multiply the last two together, we
get 7&#8729;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 {{{m=7}}} and 

{{{k=212100/(m+700)}}}
{{{k=212100/(7+700)}}}
{{{k=212100/(707)}}} 
{{{k=300}}}

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

Edwin</pre>