Question 1151993

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

if Gabrielle is {{{6}}} years younger than Mikhail, we have

{{{g=m-6}}} .........eq.1

if the sum of their ages is {{{70}}}, we have

{{{g+m=70}}} .......eq.2

substitute {{{g}}} from eq.1

{{{m-6+m=70}}}........solve for {{{m}}}

{{{2m=70+6}}}

{{{2m=76}}}

{{{m=76/2}}}

{{{m=38}}}=> Mikhail's age


{{{g=38-6}}}=>{{{g=32}}}=>Gabrielle's age