Question 714754
m, n in set of whole numbers and m<n.


{{{n-m=11}}} and {{{n/m=2+4/m}}}.  Understand that a "remainder" counts denominations.  Here, the denominator is m, so remainder of 4 means {{{4/m}}}.


For solving, start with the quotient equation and clear the fractios, multiplying by m on both sides.  Work with this a while and you should be able to solve the system (which initially is as shown, {{{n-m=11}}} AND {{{n/m=2+4/m}}} ).



ANSWER:  I will skip the steps here, but m=7 and n=18.  Be sure you can produce the necessary steps to finish.