Question 980184
Using x and y instead of a and b.


x and y, current ages.
Assume {{{y>x}}}.
In seven years,  {{{(y+7)/(x+7)=3/2}}}.


IF {{{y-x=15}}}, find x and y.


{{{system(2(y+7)=3(x+7),y=x+15)}}}, slightly adjusted system.


{{{2y+14=3x+21}}}
{{{2y-3x=21-14}}}
{{{2y-3x=7}}}
{{{2(x+15)-3x=7}}}
{{{2x+30-3x=7}}}
{{{-x=7-30}}}
{{{x=30-7}}}
{{{highlight(x=23)}}}


{{{y=15+23}}}
{{{highlight(y=38)}}}