Question 1151051

let Mike's age be {{{x}}} and Curt's age {{{y}}} 

if Mike is {{{8 }}}years older than her brother Curt, we have:

{{{x=y+8}}}........eq.1

if four years from now, Mike will be twice as old as Curt, we have

{{{x+4=2(y+4)}}}

{{{x=2(y+4)-4}}}

{{{x=2y+8-4}}}

{{{x=2y+4}}}.....eq.2


from eq.1 and eq.2 we have


{{{y+8=2y+4}}}

{{{8-4=2y-y}}}

{{{y=4}}}->Curt's age

 
{{{x=y+8}}}........eq.1

{{{x=4+8}}}

{{{x=12}}}->Mike's age