Question 1186069

let Jason's age be {{{J}}} and Tiana's age {{{T}}}

if Jason is {{{20 }}}years older than Tiana. we have 

{{{J=T+20}}} .....eq.1

if in {{{5}}} years, the sum of their ages will be {{{84}}}, we have

 {{{(J+5)+(T+5)=84}}} 
 {{{J+T+10=84}}} 
{{{J+T=84-10}}} 
{{{J+T=74}}}   .......eq.2

substitute {{{J}}} from eq.1 in eq.2

{{{T+20+T=74}}}
{{{2T=74-20}}}
{{{2T=54}}}
{{{T=27}}}

go to

{{{J=T+20}}} .....eq.1, substitute {{{T}}}
{{{J=27+20}}}
{{{J=47}}}
 

Jason is {{{47}}} and Tiana is {{{27}}} years old now