Question 840100
Right now, Ann is {{{A }}}years old, Jane is {{{J}}} years old.
Five years ago, Ann was {{{A-5}}} and Jane was {{{J-5}}}.
{{{J-5=4(A-5)}}}
{{{J-5=4A-20}}}
1.{{{J=4A-15}}}
In 13 years, Ann will be {{{A+13}}} and Jane will be {{{J+13}}}.
{{{J+13=(A+13)+6}}}
{{{J+13=A+19}}}
2.{{{J=A+6}}}
Substitute from eq. 1,
{{{4A-15=A+6}}}
{{{3A=21}}}
{{{highlight(A=7)}}}
Then use either equation to solve for {{{J}}}
{{{J=A+6}}}
{{{J=7+6}}}
{{{highlight(J=13)}}}