Question 1152560


let Steve's age be {{{x}}} and  Gloria's age {{{y}}}

if Steve is {{{19}}} years older than his sister Gloria, we have

{{{x=y+19}}}.......eq.1


if in {{{13 }}}years, he will be {{{twice}}} as old as Gloria, we have

{{{x+13=2(y+13)}}}

{{{x+13=2y+26}}}.......eq.2...substitute {{{x}}} from eq.1


{{{y+19+13=2y+26}}}.......solve for {{{y}}}

{{{y+32=2y+26}}}

{{{32-26=2y-y}}}

{{{y=6}}}

go back to

{{{x=y+19}}}.......eq.1 ..substitute {{{y}}}

{{{x=6+19}}}

{{{x=25}}}


answer: Steve is {{{25}}} years old and  Gloria is {{{6}}} years old