Question 1126106

 The sum of the ages of Keegan and Esmeralda is 92 years.

{{{Keegan + Esmeralda=92}}}

{{{Keegan =92-Esmeralda}}}....eq.1


 {{{12 }}}years ago, Keegan's age was {{{3}}} times Esmeralda's age

{{{Keegan-12 =3(Esmeralda-12)}}}

{{{Keegan-12 =3Esmeralda-36}}}

{{{Keegan=3Esmeralda-36+12 }}}

{{{Keegan=3Esmeralda-24 }}}..........eq.2

from eq.1 and eq.2 we have

{{{3Esmeralda-24 =92-Esmeralda}}}
{{{3Esmeralda+Esmeralda =92+24}}}
{{{4Esmeralda =116}}}
{{{Esmeralda =116/4}}}
{{{Esmeralda =29}}}

then
{{{Keegan =92-Esmeralda}}}....eq.1
{{{Keegan =92-29}}}
{{{Keegan =63}}}

answer: Keegan is {{{63}}} years old now?