Question 1152138

let Gabrielle's age be {{{g}}} and Mikhail's {{{m}}}

if Gabrielle is {{{12}}} years older than Mikhail, we have

 {{{g=m+12}}} ......eq.1

if the sum of their ages is {{{38}}}, we have


 {{{g+m=38}}} ......eq.2...substitute {{{g}}} from eq.1

{{{m+12+m=38}}} ......eq.2.......solve for {{{m}}}

{{{2m38-12}}}

{{{2m=26}}}

{{{highlight(m=13)}}}=> Mikhail's age

go to {{{g=m+12}}} ......eq.1, substitute {{{m}}} 

{{{g=13+12}}} 

 {{{g=25}}}=>Gabrielle's age