Question 1171102

let age of Lynn be {{{L}}} and age of  Carol {{{C}}}

if the total age age of Lynn and Carol is {{{37}}}, we have 

{{{L+C=37}}}....eq.1

if Lynn is {{{five}}} years older than Carol, we have

{{{L=C+5}}}.......eq.2, substitute in eq.1


 {{{C+5+C=37}}}....eq.1

{{{2C=37-5}}}

{{{2C=32}}}

{{{C=16}}}

go to eq.2


{{{L=C+5}}} substitute {{{C}}}

{{{L=16+5}}}

{{{L=21}}}


so, Lynn is {{{21}}} and Carol is {{{16}}}