Question 1175106

let Jolo's age be {{{x}}} and Julianne's age {{{y}}}

if in {{{5 }}}years, Jolo would be {{{twice}}} the age of Julianne, we have

{{{x+5=2(y+5)}}} ....solve for {{{x}}} 
{{{x=2y+10-5}}}
{{{x=2y+5}}}......eq.1

if {{{5}}} years ago, Jolo was {{{4}}} times as old as Julianne, we have
{{{x-5=4(y-5)}}} ....solve for {{{x}}} 
{{{x=4(y-5)+5}}}
{{{x=4y-20+5}}}
{{{x=4y-15}}}.....eq.2

from eq.1 and eq.2 we have:

{{{4y-15=2y+5}}}...solve for {{{y}}}
{{{4y-2y=15+5}}}
{{{2y=20}}}
{{{y=10}}}


go to

{{{x=2y+5}}}......eq.1, substitute {{{y}}}

{{{x=2*10+5}}}
{{{x=20+5}}}
{{{x=25}}}

so, Jolo is {{{25}}} years old now, and Julianne is {{{10}}} years old now