Question 962502
Standard linear system. Let
a be the larger
b be the smaller
Then we have
{{{a = b + 7}}}
and
{{{2b + 3a = 81}}}
Substituting,
{{{2b + 3(b+7)=81}}}
{{{2b+3b+21=81}}}
{{{5b=60}}}
{{{b=12}}}
and
{{{a=12+7=19}}}
Therefore a = 19 and b = 12.