Question 1205732


let Fred’s age be{{{ x}}} and Jan’s age {{{y}}}

if Fred is {{{3 }}}years more than twice as old as Jan, we have

{{{x=2y+3}}}.....eq.1

 if the sum of their ages is {{{48}}}, we have

{{{x+y=48}}}....eq.2


system to solve is:

{{{x=2y+3}}}.....eq.1
{{{x+y=48}}}....eq.2
------------------subtract eq.2 from eq.1 to eliminate variable {{{x}}}

{{{x-x-y=2y+3-48}}}

{{{0-y=2y-45}}}

{{{45=3y}}}

{{{y=45/3}}}

{{{y=15}}}


go to eq.1, substitute {{{y}}}

{{{x=2*15+3}}}.....eq.1

{{{x =33}}}


How old is each?

Fred is {{{33 }}}years old and Jan is {{{15}}} years old.