Question 1151245

let Evan's age be {{{x}}} and Diana's age {{{y}}}

if the sum of the ages of Even and Diane is {{{60}}} years, we have

{{{x+y=60}}} ......eq.1

 if {{{12 }}}years ago, Evan's age was {{{2}}} times Diana's,we have

{{{x-12=2(y-12)}}}..........solve for {{{x}}}


{{{x=2y-24+12}}}

{{{x=2y-12}}}......eq.2


go to eq.1, substitute {{{x}}} from eq.2

{{{x+y=60}}}

{{{2y-12+y=60}}}........solve for {{{y}}}

{{{3y =60+12}}}

{{{3y =72}}}

{{{y =72/3}}}

{{{y =24}}}


go back to 

{{{x=2y-12}}}......eq.2, substitute {{{y}}}

{{{x=2*24-12}}}

{{{x=48-12}}}

{{{x=36}}}


so, Even is {{{36}}} years old now