Question 110259
The difference of two numbers is 25 means: {{{x-y=25}}}.  Half of the larger number would be {{{x/2}}}, and 5 more than that would be {{{x/2+5}}}, so we can write {{{y=x/2+5}}}
:
The simplest thing to do at this point is to substitute for y in the first equation:
:
{{{x-(x/2+5)=25}}}
{{{x-x/2=30}}}
{{{2x-x=60}}}
{{{x=60}}}
:
{{{60-y=25}}}
{{{y=35}}}
:
Check:
The difference between 60 and 35 is 25.  Half of 60 is 30 and 5 more is 35.  Check.