Question 768511
n>m

{{{n=m+4}}}

{{{1/m-1/n=1/15}}}


Solve for m and n.


The difference equation becomes, when multiply both sides by 15mn,
{{{15n-15m=mn}}}
and substituting the formula for n,
{{{15(m+4)-15m=15m(m+4)}}}
.
{{{60=15m^2+60m}}}
.
{{{m^2+4m-4=0}}}
{{{(m-2)^2=0}}}
{{{highlight(m=2)}}}  which means {{{highlight(n=6)}}}